Free Printable Lesson 2-1 to 2-3 Practice

1.

If given the equation $y=3\left(x+5\right)^2-4$ ,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

2.

Given the equation for this parabola: $y=-\left(x-4\right)^2-3$ ,

does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

3.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

4.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

5.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

6.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

7.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

8.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

9.

What causes the graph of y = x² to open downward?

a)

multiply the x² by a fraction

b)

multiply the x² by a decimal

c)

multiply the x² by a negative number

d)

multiply the x² by a number greater than 1

10.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

11.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

12.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

13.

What is the vertex?
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

14.

Which is the standard form of a quadratic function?

a)

ax² + bx + c

b)

a(x - h)² + k

c)

y - y₁= m(x - x₁)

d)

Ax + By = C

15.

Identify "A", "B", and "C" if y = 3x²-8 + 5x

a)

A=3, B=5, C=-8

b)

A=3, B=-8, C=5

c)

A=3x², B=5x, C=-8

d)

A=3x² , B=-8, C=5x

16.

Which is the graph of the quadratic?

y\ =\ x^2-4x+5

a)

A

b)

B

c)

C

d)

D

17.

What is the formula to find the axis of symmetry of a parabola?

a)

$x=\frac{-b}{a}$

b)

$x=-b$

c)

$x=\frac{-b}{2a}$

d)

$x=\frac{-b}{2}$

18.

What is the "b" value in the quadratic?

y=-x^2+8

a)

-1

b)

1

c)

0

d)

8

e)

-8

19.

Find an equation in standard form of the parabola passing through the points.

(1, −1), (2, −5), (3, −7)

a)

y = -3x² + 7x + 8

b)

y = x² - 7x + 5

c)

y = -x² + 7x - 5

d)

y = x²

20.

A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying and caring for each tree before it is sold is

C = 0.001n² − 0.3n + 50. In this function, C is the cost per tree in dollars and n is the number of trees in stock. How many trees will minimize the cost per tree? (hint: find the vertex)

a)

180

b)

150

c)

100

d)

-150

21.

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

a)

$-18x^2+2.11x+4.21$

b)

$-0.06x^2+1.06x+7.9$

c)

$-6x^2+1.06x+79$

d)

$-0.12x^2+2.11x+4.22$

22.

Find the best fitting Quadratic model for the data

a)

$-0.26x^2-17.3x+222.8$

b)

$-0.26x^2+22.59x+23.02$

c)

$2.6x^2+22.9x+20.03$

d)

$2.6x^2+2.3x+23.02$

23.

If the blue graph is f(x) = x²

then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

24.

Write the vertex form of the equation that has the indicated vertex and passes through the given point.
Vertex (-1,4); point (1,0)

f\left(x\right)=a\left(x-h\right)^2+k

a)

$f\left(x\right)=-\left(x+1\right)^2+4$

b)

$f\left(x\right)=\left(x+1\right)^2+4$

c)

$f\left(x\right)=-\left(x+4\right)^2+1$

d)

$f\left(x\right)=-\left(x+1\right)^2$

25.

Which way is the graph of

y=x^2-8

shifted in comparison to

y=x^2

a)

left 8

b)

right 8

c)

up 8

d)

down 8

26.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

27.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

28.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

29.

What is the axis of symmetry?
y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

30.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

31.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

32.

The U-Shaped graph of a quadratic function is called a?

a)

Marabola

b)

X-value

c)

Parabola

d)

Height

33.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

34.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

35.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

36.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

37.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

38.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

39.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

40.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

41.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

42.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

43.

What is the axis of symmetry?
y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

44.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

45.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

46.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

47.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

48.

The standard form of a quadratic function is

a)

$y=ax^2+bx+c$

b)

$y=a(x-h)^2+k$

c)

$y-y_1=m(x-x_1)$

d)

$Ax+By=C$

49.

Identify A, B, and C if

y=3x^2-8+5x

a)

$A=3,\ B=5,\ C=-8$

b)

$A=3,\ B=-8,\ C=5$

c)

$A=3x^2,\ B=5x,\ C=-8$

d)

$A=3x^2,\ B=-8,\ C=5x$

50.

What is the y-intercept of this equation? $y=x^2-3x+9$

a)

(9, 0)

b)

(0, 9)

c)

(1, 0)

d)

(-3, 0)

e)

(0, -3)

51.

$y=-2x^2+3x-7$
This parabola opens...

a)

Upward

b)

Downward

52.

$y=-4x^2-2x+8$
This parabola has a...

a)

Minimum

b)

Maximum

53.

$y=2x^2-8x+10$ Find the x-coordinate of the vertex.

a)

$x=2$

b)

$x=-2$

c)

$x=\frac{1}{4}$

d)

$x=-4$

54.

Given that the x-coordinate of the vertex is 2, what is the axis of symmetry?

a)

$x=-2$

b)

$\left(2,0\right)$

c)

$\left(0,-2\right)$

d)

$x=2$

55.

Given that the x-coordinate of the vertex is 2, what is the y-coordinate of this equation? $y=2x^2-8x+10$

a)

$y=0$

b)

$y=2$

c)

$y=-4$

d)

$y=18$

56.

$y=-x^2+6x+5$

Find the vertex.

a)

(4,-3)

b)

(-3,-22)

c)

(-4,3)

d)

(3, 14)

57.

$y=3x^2-5x+7$

Find the y-intercept

a)

(0,7)

b)

(7,0)

c)

(0,-5)

d)

(5,0)

58.

Find the Vertex:
f(x) = x² + 10x + 21

a)

(-5,-4)

b)

(1,10)

c)

(10,21)

d)

No Real Solution

59.

Find the Vertex:
y = x² + 6x + 2

a)

(-3,-7)

b)

(1,6)

c)

(6,2)

d)

No Real Solution

60.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

61.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

62.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

63.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

64.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

65.

Find the vertex of the quadratic:
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

66.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

67.

What direction is the following equation opening?
y=-3x²-7x+8

a)

Up

b)

Down

c)

Left

d)

Right

68.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-2

d)

x=4

69.

Does
y = -4x²
have a maximum or minimum value?

a)

maximum

b)

minimum

70.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

wavey line/snaked

d)

circle/elliptical

71.

What does the a term tell you?

a)

opens up or down, reflects, stretch, and shrink

b)

opens up or down

c)

reflects, stretch, and shrink

d)

nothing

72.

What does the h term tell you?

a)

left or right

b)

left or right, opposite sign, axis of symmetry, x-value of the vertex.

c)

axis of symmetry, x-value of the vertex

d)

nothing.

73.

What does the k term tell you?

a)

up.

b)

down.

c)

up/down, y-value in the vertex

d)

nothing

74.

Describe the transformations below: $\left(x+1\right)^2-4$

a)

left: 1, up: 4

b)

left: 1, down: 4

c)

right: 1, up: 4

d)

right: 4, up: 1

75.

Describe the transformation below: $-\left(x+3\right)^2+6$

a)

reflect over the x-axis

b)

reflect over the x-axis, left: 3, up: 6

c)

stretch, left: 3, down: 6

d)

left: 3, down: 6

76.

Describe the transformation below: $-3\left(x+4\right)^2-1$

a)

stretch by 3, right: 4, down: 1

b)

reflect over the x-axis, right: 4, down: 1

c)

reflect over the x-axis, stretch by 3, left: 4, down: 1

d)

stretch by 4, down: 3, left: 1

77.

Identify the a, h, and k term from the following equation: $\left(x+3\right)^2+2$

a)

a=-1, h=3, k=2

b)

a=3, h=3, k=3

c)

a=1, h=-3, k=2

d)

a=1, h=-3, k=-2

78.

Identify the a, h, and k terms in the following equation: $2\left(x+4\right)^2-1$

a)

a=2, h=-4, k=-1

b)

a=-2, h=4, k=1

c)

a=2, h=4, k=1

d)

a=-2, h=-4, k=1

79.

Identify the a, h, and k terms in the following equation: $\left(x+4\right)^2-3$

a)

a=-1, h=4, k=3

b)

a=-1, h=-4, k=3

c)

a=1, h=4, k=3

d)

a=1, h=-4, k=-3

80.

Determine the vertex from the following equation: $-3\left(x-4\right)^2+1$

a)

Vertex: (4,1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, -1)

d)

Vertex: (-4, 1)

81.

Determine the vertex from the following equation: $-\left(x+1\right)^2-1$

a)

Vertex: (1,-1)

b)

Vertex: (-1, 1)

c)

Vertex: (-1, -1)

d)

Vertex: (1, 1)

82.

Determine the vertex from the following equation: $\frac{1}{2}\left(x+4\right)^2+1$

a)

Vertex: (-4, 1)

b)

Vertex: (-4, -1)

c)

Vertex: (4, 1)

d)

Vertex: (4, -1)

83.

Determine the axis of symmetry from the following equation: $-\left(x-2\right)^2+4$

a)

A. O. S: 2

b)

A. O. S: 4

c)

A. O. S: -2

d)

A. O. S: -1

84.

Determine the axis of symmetry of the following equation: $-2\left(x+2\right)^2+3$

a)

A. O. S: 3

b)

A. O. S: -2

c)

A. O. S: 2

d)

A. O. S: 1

85.

Determine the axis of symmetry of the following equation: $\left(x-3\right)^2+5$

a)

A. O. S: 1

b)

A. O. S: -3

c)

A. O. S: 3

d)

A. O. S: 5

86.

Determine if the parabola has a maximum or minimum, if it opens up (+) then it will have a minimum, if it opens down (-) then it will have a maximum. $3\left(x+3\right)^2-2$

a)

Maximum

b)

Minimum

87.

Determine if the following equation has a maximum or minimum: $-\left(x-2\right)^2+7$

a)

Maximum

b)

Minimum

88.

Determine if the following function will be narrow (stretch) or wider (shrink): $4\left(x-3\right)^2+4$

a)

Narrow

b)

Wider

89.

What is the vertex?

a)

(2,3)

b)

(3,2)

c)

(3,0)

d)

(0,2)

90.

What is the axis of symmetry?

a)

x = 2

b)

x = 6

c)

x = 3

d)

x = 0

91.

Maximum or Minimum?

a)

Max = 3

b)

Max = 2

c)

Min = 3

d)

Min = 2

92.

What is the Vertex?

a)

( 0, 3)

b)

( 3, 0)

c)

( 0, 0)

d)

( 0, -3)

93.

Axis of Symmetry

a)

x = 0

b)

x = -3

c)

x = 3

d)

x = -9

94.

Maximum or Minimum?

a)

Max = 0

b)

Min = 0

c)

Min = 3

d)

Max = 3

95.

What is the Vertex?

a)

(1, -5)

b)

(-5, 1)

c)

(5, 1)

d)

(1 , 5)

96.

Axis of Symmetry?

a)

x = 5

b)

x = -5

c)

x = -1

d)

x = 1

97.

Maximum or Minimum?

a)

Max = 5

b)

Max = -5

c)

Min = -5

d)

Min = 5

98.

What is the Vertex?

$y=-\left(x-4\right)^2-1$

a)

( -4, -1)

b)

( 1, -4)

c)

( -1, -4)

d)

( 4, -1)

99.

Axis of Symmetry?

$y=-\left(x-4\right)^2-1$

a)

x = -1

b)

x = 1

c)

x = -4

d)

x = 4

100.

Maximum or Minimum?

$y=-\left(x-4\right)^2-1$

a)

Max = -4

b)

Max = -1

c)

Min = -1

d)

Min = 4

101.

What is the vertex?

$y=2\left(x-3\right)^2+6$

a)

(2, 6)

b)

(3, 6)

c)

(2, -3)

d)

(-3, 6)

102.

Axis of Symmetry?

$y=2\left(x-3\right)^2+6$

a)

x = 3

b)

x = -3

c)

x = 6

d)

x = -6

103.

Maximum or Minimum?

$y=2\left(x-3\right)^2+6$

a)

Max = -3

b)

Min = 3

c)

Min = 6

d)

Max = 6

104.

Which of the following equations matches vertex form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

105.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

106.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

107.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

108.

What causes the graph of y = x² to open downward?

a)

multiply the x² by a fraction

b)

multiply the x² by a decimal

c)

multiply the x² by a negative number

d)

multiply the x² by a number greater than 1

109.

What is the vertex?

a)

(-1,-2)

b)

(-2,-1)

c)

(-3,-1)

d)

(2,1)

110.

Which equation is graphed above?

a)

$y=-\left(x-1\right)^2+4$

b)

$y=\left(x-1\right)^2+4$

c)

$y=-\left(x-4\right)^2+1$

d)

$y=\left(x-4\right)^2+1$

111.

Which equations matches the graph above?

a)

$h\left(x\right)=\ \left(x+1\right)^2-4$

b)

$h\left(x\right)=-\left(x+1\right)^2-4$

c)

$h\left(x\right)=\left(x+4\right)^2-1$

d)

$h\left(x\right)=-\left(x+4\right)^2+1$

112.

If the blue graph is f(x) = x²

then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

113.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

114.

What steps transform the graph y = x² to y = (x-4)²

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

115.

What steps transform the graph y = x² to y = 2(x+2)² - 5?

a)

vertically stretch by 2, shifted 2 units right and 5 down

b)

vertically stretch by 5, shifted 5 units left and 2 down

c)

vertically stretch by 2, shifted 2 units left and 5 down

d)

vertically stretch by 5, shifted 2 units left and 2 down

116.

Identify ALL of the transformations performed on $f\left(x\right)=x^2$ to create the graph of $g\left(x\right)=-\left(x-4\right)^2+2$

a)

reflection

b)

vertically stretch (skinnier)

c)

vertically compress (Wider)

d)

left 4, up 2

e)

right 4, up 2

117.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

118.

Identify the vertex.

a)

(5, 2)

b)

(5, -2)

c)

(-5, 2)

d)

(-5, -2)

119.

Find the vertex:

g\left(x\right)=2\left(x-4\right)^2+8

a)

( 4 , 8 )

b)

( -4 , -8 )

c)

( 4 , -8 )

d)

( -4 , 8 )

120.

Find the vertex:

f\left(x\right)=3\left(x-5\right)^2-7

a)

( 5 , 7 )

b)

( -5 , -7 )

c)

( 5 , -7 )

d)

( -5 , 7 )

121.

Find the vertex:

f\left(x\right)=\frac{1}{3}\left(x+1\right)^2

a)

( 1 , 0 )

b)

( 0 , 1 )

c)

( -1 , 0 )

d)

( 0 , -1 )

122.

Find the vertex:

g\left(x\right)=-2\left(x+4\right)^2-6

a)

( 4 , 6 )

b)

( -4 , -6 )

c)

( 4 , -6 )

d)

( -4 , 6 )

123.

Where is the vertex of the following equation:
y=3(x-2)²+5

a)

(2,5)

b)

(-2,5)

c)

(2,-5)

d)

(3,5)

124.

Where is the vertex of the following equation:
y=(x+3)²+2

a)

(-3,2)

b)

(-3,-2)

c)

(3,2)

d)

(3,-2)

125.

What is the vertex for the parabola?
$f(x)=4(x-2)^2+3$

a)

(-2, 3)

b)

(2, -3)

c)

(4, 3)

d)

(2, 3)

126.

What is the vertex for the parabola? $f(x)=-3(x+1)^2-7$

a)

(-1, -7)

b)

(-2, 7)

c)

(1, -7)

d)

(1, 7)

127.

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

128.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

129.

Find the y-intercept of this graph?

a)

(-4,0)

b)

(0,-4)

c)

(4,0)

d)

(0,4)

130.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

131.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

132.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

Axis of symmetry / Line of symmetry

d)

line of dashes

133.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

134.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

135.

Given the equation: y = -(x - 4)²- 3,

does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

136.

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

a)

y = 4

b)

y = - 4

c)

x = 4

d)

x = - 4

137.

What is true for: y = -2(x - 1)² + 5

a)

Opens up with a minimum

b)

Opens down with a maximum

c)

Opens left

d)

Opens right

138.

Use the graph to determine the Roots (solutions).

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

139.

What are the x- intercepts (roots, solutions)?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

140.

Factor the expression:
$x^2-25$

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

cannot be factored

141.

Factor the expression:
$3x^2-36x+96$

a)

$\left(x-4\right)\left(x-8\right)$

b)

$3\left(x-4\right)\left(x-8\right)$

c)

$3\left(x+1\right)\left(x+32\right)$

d)

$3\left(x-2\right)\left(x+16\right)$

142.

Factor the expression
$25x^2+60x+36$

a)

$\left(25x-6\right)\left(x-1\right)$

b)

$\left(5x-6\right)\left(5x-6\right)$

c)

$\left(5x+6\right)^2$

d)

$\left(25x+4\right)\left(x+9\right)$

143.

Factor the expression:

$2x^2+22x+60$

a)

$\left(2x+10\right)\left(x+6\right)$

b)

$\left(x+5\right)\left(x+6\right)$

c)

$2\left(x+1\right)\left(x+30\right)$

d)

$2\left(x+5\right)\left(x+6\right)$

144.

Factor the expression:

x²- 6x + 8

a)

(x-2)(x-4)

b)

(x-1)(x-8)

c)

(x+2)(x+4)

d)

(x+1)(x+8)

145.

Factor the expression:

-3x²- 24x - 21

a)

(3x-3)(x-7)

b)

(x-7)(x-1)

c)

-3(x+7)(x+1)

d)

(x+21)(x+1)

146.

Factor the expression:

x²+ 16x + 64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

147.

Factor the expression:

x²- 13x + 40

a)

(x-5)(x-8)

b)

(x+5)(x+8)

c)

(x-4)(x-10)

d)

(x-2)(x-20)

148.

Factor the expression:

3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

149.

Factor the expression:

2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

150.

Solve the equation by Factoring:

x²+ 4x - 32 = 0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

151.

Solve the equation by Factoring:

x²- 14x - 51 = 0

a)

x= 17, -3

b)

x= -17, 3

c)

x= -17, -3

152.

Solve the equation by Factoring:

x²= 18x - 81

a)

x= -9, -9

b)

x= 9, 9

c)

x= -9, 9

153.

Solve the equation by Factoring:

6x²- x - 2 = 0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

154.

Solve the equation by Factoring:

3x²- 48 = 0

a)

x= 4, 4

b)

x= -4, -4

c)

x= -4, 4

155.

Write a quadratic equation in standard form with the given roots: 1, 7

a)

x² - 6x - 7

b)

x² + 8x + 7

c)

x² - 8x + 7

d)

x² + 6x - 7

156.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

157.

What are the factors AND solutions of x² + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

158.

Solve the equation by Factoring:

x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

159.

Solve the equation by Factoring:

2x² - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2

160.

Factor the expression.

3x^2-11x-4

(a)

161.

Solve the equation.

x^2+7x=30

a)

$x=15\ and\ x=-2$

b)

$x=-6\ and\ x=5$

c)

$x=-10\ and\ x=3$

d)

$x=10\ and\ x=-3$

162.

A projectile is launched into the air. The function

h\left(t\right)=-16t^2+32t+128

gives the height, h , in feet, of the projectile t seconds after it is launched. After how many seconds will the projectile land back on the ground.

(a)

163.

Write the equation of a parabola with x-intercepts at

\left(3,0\right)

and

\left(9,0\right)

that passes through the point

\left(10,-7\right)

a)

$y=-\left(x-3\right)\left(x-9\right)$

b)

$y=-\left(x+3\right)\left(x+9\right)$

c)

$y=\left(x-3\right)\left(x-9\right)$

d)

$y=\left(x+3\right)\left(x+9\right)$

164.

Write the equation of a parabola with x-intercepts at

\left(-1,0\right)

and

\left(3,0\right)

that passes through the point

\left(1,-8\right)

a)

$y=2x^2-4x-6$

b)

$y=-2x^2-4x-6$

c)

$y=2x^2+4x-6$

d)

$y=-2x^2-4x+6$

165.

Factor the expression:
$x^2-81$

a)

( x + 9 ) ( x - 9 )

b)

( x - 9 ) ( x - 9 )

c)

( x + 9 ) ( x + 9)

d)

cannot be factored

166.

Write a quadratic equation in standard form with the given roots: -1, -7

a)

x² - 6x - 7

b)

x² + 8x + 7

c)

x² - 8x + 7

d)

x² + 6x - 7

167.

Write the equation of a parabola with x-intercepts at

\left(1,0\right)

and

\left(5,0\right)

that passes through the point

\left(3,8\right)

a)

$y=-2\left(x-1\right)\left(x-5\right)$

b)

$y=-2\left(x+1\right)\left(x+5\right)$

c)

$y=-\left(x-1\right)\left(x-5\right)$

d)

$y=-\left(x+1\right)\left(x+5\right)$

168.

Write the equation of a parabola with x-intercepts at

\left(-1,0\right)

and

\left(-5,0\right)

that passes through the point

\left(-2,3\right)

a)

$y=-x^2-6x-5$

b)

$y=-x^2-4x-6$

c)

$y=x^2+4x-6$

d)

$y=x^2-4x+6$

169.

Solve by factoring.

x² + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

170.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

171.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

172.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

173.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

174.

Factor Completely: 2x² + x - 6

a)

(x + 2) (2x - 3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)

175.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

176.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

177.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

178.

x² + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

179.

Solve.
n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

180.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

181.

Solve
x² + 7x + 12 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

182.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

183.

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

184.

Factor and solve:

z² − 14z + 45 = 0

a)

z = 1, 45

b)

z = −1, 45

c)

z = −5, 9

d)

z = 5, 9

185.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

186.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

187.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

188.

Which of the following is the Factored Form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = ax² + bx + c

c)

f(x) = a(x - m)(x - n)

d)

f(x) = a(x - h)² + k

189.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t²+ 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

Lesson 2-1 to 2-3 Practice

Total questions: 189

Worksheet time: 16hrs 43mins

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