Free Printable Lesson 2-1 and 2-2 Practice

1.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

2.

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

3.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

4.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

5.

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

a)

parabola

b)

vertex

c)

graph

d)

point

6.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

7.

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

a)

Marabola

b)

X-value

c)

Parabola

d)

Height

8.

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

9.

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

10.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

11.

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

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

12.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

13.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

14.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

15.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

16.

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

17.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

18.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

19.

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

20.

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

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

21.

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

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

22.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

23.

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)

$Ax+By=C$

24.

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)

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

25.

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)

26.

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

a)

Upward

b)

Downward

27.

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

a)

Minimum

b)

Maximum

28.

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

a)

$x=2$

b)

$x=-2$

c)

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

d)

$x=-4$

29.

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)

$x=2$

30.

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)

$y=18$

31.

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

Find the vertex.

a)

(4,-3)

b)

(-3,-22)

c)

(-4,3)

d)

(3, 14)

32.

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

Find the y-intercept

a)

(0,7)

b)

(7,0)

c)

(0,-5)

d)

(5,0)

33.

Find the Vertex:
f(x) = x² + 10x + 21

a)

(-5,-4)

b)

(1,10)

c)

(10,21)

d)

No Real Solution

34.

Find the Vertex:
y = x² + 6x + 2

a)

(-3,-7)

b)

(1,6)

c)

(6,2)

d)

No Real Solution

35.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

36.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

37.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

38.

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

39.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

40.

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

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

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.

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

a)

Up

b)

Down

c)

Left

d)

Right

43.

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

44.

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

a)

maximum

b)

minimum

45.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

wavey line/snaked

d)

circle/elliptical

46.

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

47.

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.

48.

What does the k term tell you?

a)

up.

b)

down.

c)

up/down, y-value in the vertex

d)

nothing

49.

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

50.

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

51.

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

52.

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

53.

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

54.

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

55.

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)

56.

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)

57.

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)

58.

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

59.

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

60.

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

61.

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

62.

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

a)

Maximum

b)

Minimum

63.

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

a)

Narrow

b)

Wider

64.

What is the vertex?

a)

(2,3)

b)

(3,2)

c)

(3,0)

d)

(0,2)

65.

What is the axis of symmetry?

a)

x = 2

b)

x = 6

c)

x = 3

d)

x = 0

66.

Maximum or Minimum?

a)

Max = 3

b)

Max = 2

c)

Min = 3

d)

Min = 2

67.

What is the Vertex?

a)

( 0, 3)

b)

( 3, 0)

c)

( 0, 0)

d)

( 0, -3)

68.

Axis of Symmetry

a)

x = 0

b)

x = -3

c)

x = 3

d)

x = -9

69.

Maximum or Minimum?

a)

Max = 0

b)

Min = 0

c)

Min = 3

d)

Max = 3

70.

What is the Vertex?

a)

(1, -5)

b)

(-5, 1)

c)

(5, 1)

d)

(1 , 5)

71.

Axis of Symmetry?

a)

x = 5

b)

x = -5

c)

x = -1

d)

x = 1

72.

Maximum or Minimum?

a)

Max = 5

b)

Max = -5

c)

Min = -5

d)

Min = 5

73.

What is the Vertex?

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

a)

( -4, -1)

b)

( 1, -4)

c)

( -1, -4)

d)

( 4, -1)

74.

Axis of Symmetry?

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

a)

x = -1

b)

x = 1

c)

x = -4

d)

x = 4

75.

Maximum or Minimum?

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

a)

Max = -4

b)

Max = -1

c)

Min = -1

d)

Min = 4

76.

What is the vertex?

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

a)

(2, 6)

b)

(3, 6)

c)

(2, -3)

d)

(-3, 6)

77.

Axis of Symmetry?

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

a)

x = 3

b)

x = -3

c)

x = 6

d)

x = -6

78.

Maximum or Minimum?

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

a)

Max = -3

b)

Min = 3

c)

Min = 6

d)

Max = 6

79.

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

80.

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)

81.

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

82.

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

83.

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

84.

What is the vertex?

a)

(-1,-2)

b)

(-2,-1)

c)

(-3,-1)

d)

(2,1)

85.

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)

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

86.

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)

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

87.

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

88.

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

89.

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

90.

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

91.

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

92.

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)

93.

Identify the vertex.

a)

(5, 2)

b)

(5, -2)

c)

(-5, 2)

d)

(-5, -2)

94.

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 )

95.

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 )

96.

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 )

97.

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 )

98.

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)

99.

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)

100.

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)

101.

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)

102.

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

a)

Maximum

b)

Minimum

103.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

104.

Find the y-intercept of this graph?

a)

(-4,0)

b)

(0,-4)

c)

(4,0)

d)

(0,4)

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.

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

107.

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

108.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

109.

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

110.

Given the equation: y = -(x - 4)²- 3,

does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

111.

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

112.

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

113.

Use the graph to determine the Roots (solutions).

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

114.

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

Lesson 2-1 and 2-2 Practice

Total questions: 114

Worksheet time: 10hrs 37mins

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