Free Printable Adv. Alg. Ch. 2 Extra Practice

1.

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)

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

2.

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

Choose the correct graph of the equation.

a)

b)

c)

d)

3.

Which way does the following equation open? $f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$

a)

upward

b)

downward

4.

What is the vertex of the following equation? $f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$

a)

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

b)

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

c)

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

d)

$\left(5,6\right)$

5.

What is the vertex of y = 2(x - 3)² + 6

a)

(-3, -6)

b)

(3, -6)

c)

(-3, 6)

d)

(3, 6)

6.

Write y = x² + 4x - 1 in vertex form.

a)

y = (x - 2)² + 5

b)

y = (x + 2)² - 5

c)

y = (x + 2)² - 1

d)

y = (x +2)² + 3

7.

Write y = x² - 18x + 52 in vertex form.

a)

y = (x - 9)² + 113

b)

y = (x + 9)² - 29

c)

y = (x - 9)² + 52

d)

y = (x - 9)² - 29

8.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

9.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

10.

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

11.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

12.

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)

13.

What is the axis of symmetry for this graph?

a)

y=2

b)

x=2

c)

x=0

d)

y=0

14.

Does the following quadratic equation have a maximum or minimum value? How can you tell?

y=x²+2x-3

a)

Minimum value, because the value of a is positive

b)

Maximum value, because the value of b is positive

c)

Maximum value, because the value of a is positive

d)

Minimum value, because the value of c is negative

15.

In the equation f(x)=5(x+3)²-10 what does the 5 do?

a)

Vertical stretch by 5

b)

Horizontal compress by 5

c)

Reflect

d)

Move up 5

16.

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

a)

reflection, vertical compression, horizontal right, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x²

17.

What transformations have occurred?

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

18.

Identify ALL of the transformations performed on $f\left(x\right)=x^2$ to create the graph of $g\left(x\right)=-2\left(x-5\right)^2+10$

a)

reflection

b)

stretch

c)

shrink

d)

left 5, up 10

e)

right 5, up 10

19.

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)

stretch

c)

shrink

d)

left 4, up 2

e)

right 4, up 2

20.

Which transformations were applied to form the red graph from the blue graph?

a)

shrink

b)

stretch

c)

reflection, stretch

d)

reflection, shrink

21.

What is the domain of the function?

a)

(3, ∞)

b)

[-3, ∞)

c)

(-∞, 4]

d)

(-∞, 4)

22.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

23.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

24.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

25.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

26.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

27.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

28.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

29.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

30.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

31.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

32.

The function in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

33.

Is the graph an even, odd, or neither function.

a)

Even

b)

Odd

c)

Neither

34.

Is the graph an even, odd, or neither function

a)

Even

b)

Odd

c)

Neither

35.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

36.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

37.

How do you read f(x)?

a)

f x

b)

f parenthesis x

c)

f of x

d)

f with an x inside parenthesis

38.

Given f(x) = 4x - 10 and f(x) = 10. Find x

a)

x = 14

b)

x = -6

c)

x = -50

d)

x = 5

39.

f(x) = x+8 find f(-4)

a)

-2

b)

6

c)

2

d)

4

40.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

41.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

42.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

43.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

44.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

45.

Solve.

3y + 6 + 4y - 7 = -8

a)

y=-1

b)

y=-8

c)

y=1

d)

No solution

46.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

47.

6(m+3)=2(m+5)

a)

No solution

b)

m=-2

c)

Infinite Solutions

48.

Solve:
2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

49.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

50.

14 - 2 ( 3p + 1) = 6 ( 4 + p)

a)

No Solution

b)

p=-1

c)

Infinite Solutions

51.

A parabola is upside-down when a is:

a)

negative

b)

positive

c)

0

d)

infinite

52.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

53.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

54.

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)

55.

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

a)

up

b)

down

56.

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

a)

shrink by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

shrink by 5, shifted 2 units left and 2 down

57.

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

58.

Which transformations were applied to form the red graph from the blue graph?

a)

shrink

b)

stretch

c)

reflection, stretch

d)

reflection, shrink

59.

Which transformations were applied to form the red graph from the blue graph?

a)

shrink, left 4, down 5

b)

stretch, left 4, down 5

c)

reflection, left 4, down 5

d)

reflection, shrink, left 4, down 5

60.

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)

stretch

c)

shrink

d)

left 4, up 2

e)

right 4, up 2

61.

Identify ALL of the transformations performed on $f\left(x\right)=x^2$ to create the graph of $g\left(x\right)=-2\left(x-5\right)^2+10$

a)

reflection

b)

stretch

c)

shrink

d)

left 5, up 10

e)

right 5, up 10

62.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

y intercept

63.

What transformations have occurred?

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

64.

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

a)

reflection, vertical compression, horizontal right, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x²

65.

In the equation f(x)=5(x+3)²-10 what does the 5 do?

a)

Vertical stretch by 5

b)

Horizontal compress by 5

c)

Reflect

d)

Move up 5

66.

Graph $y=x^2$ first. Find the equation of the parabola that has moved...

5 units to the right

a)

y=x^2+5

b)

$y=x^2-5$

c)

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

d)

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

67.

What is the quadratic parent function?

a)

$\ f\left(x\right)=x^2$

b)

$\ \ f\left(x\right)=x$

c)

$Ax+By=C$

d)

$Ax^2+Bx+C$

68.

Given f(x) = -x² , how did we transform from the parent function?

a)

Moved left

b)

Reflection over the x-axis

c)

Moved down

d)

got wider

69.

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)

70.

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

a)

Maximum

b)

Minimum

71.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

72.

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

73.

What does the quadratic function that has a vertex of (3,4) look like?

a)

y = a(x+3)² + 4

b)

y = a(x-3)² + 4

c)

y = -a(x+3) - 4

d)

y = a(x-3)² - 4

74.

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

75.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

76.

What is the vertex of $f\left(x\right)=\left(x+4\right)^2$

a)

(0,4)

b)

(4,0)

c)

(-4,0)

d)

(0,-4)

77.

$f\left(x\right)=\left(x+2\right)^2-2$ What is the vertex of

a)

(-2,-2)

b)

(-2,2)

c)

(2,-2)

d)

(2,2)

78.

$f\left(x\right)=\left(x-5\right)^2+3$ What is the vertex of

a)

(5,3)

b)

(3,5)

c)

(-5,-3)

d)

(-3,-5)

79.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

80.

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.

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

82.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

83.

Does the following quadratic equation have a maximum or minimum value? How can you tell?

y=x²+2x-3

a)

Minimum value, because the value of a is positive

b)

Maximum value, because the value of b is positive

c)

Maximum value, because the value of a is positive

d)

Minimum value, because the value of c is negative

84.

Convert to vertex form:
f(x) = x² + 10x + 24

a)

f(x) = ( x - 5 )² + 1

b)

f(x) = ( x + 5 )² - 1

c)

f(x) = ( x - 5 )² - 1

d)

f(x) = ( x + 5 )² + 1

85.

What is the domain?

a)

(-3 , 3)

b)

[-4, 5]

c)

(-4, 5)

d)

(-3, 3]

86.

What is the range?

a)

(-3, 3)

b)

[-4, 5)

c)

[-4 , 5]

d)

(-3 , 3]

87.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

88.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

89.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

90.

What is the domain of the graph?

a)

[ -∞, ∞]

b)

(-∞,∞)

c)

[-3 , 3]

d)

[-15, 9]

91.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

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.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

94.

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

95.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

96.

What does the quadratic function that has a vertex of (3,4) look like?

a)

y = a(x+3)² + 4

b)

y = a(x-3)² + 4

c)

y = -a(x+3) - 4

d)

y = a(x-3)² - 4

97.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

98.

What is the vertex of $f\left(x\right)=\left(x+4\right)^2$

a)

(0,4)

b)

(4,0)

c)

(-4,0)

d)

(0,-4)

99.

$f\left(x\right)=\left(x+2\right)^2-2$ What is the vertex of

a)

(-2,-2)

b)

(-2,2)

c)

(2,-2)

d)

(2,2)

100.

$f\left(x\right)=\left(x-5\right)^2+3$ What is the vertex of

a)

(5,3)

b)

(3,5)

c)

(-5,-3)

d)

(-3,-5)

101.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; it does not pass the vertical line test

102.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

103.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

104.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

105.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

106.

Is y a function of x?

a)

function

b)

not a function

107.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

108.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

109.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

110.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

111.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

112.

What is the domain?

a)

$\left(\infty,-2\right]$

b)

$\left[-2,\ \infty\right)$

c)

[-2,3]

d)

$\left(-\infty,\ -2\right]$

e)

None of the answer choices

113.

What is the domain?

a)

(-8, 4]

b)

(-8,-3) U [-1, 4]

c)

[-8,-3) U [-1, 4]

d)

(-8,-4] U [-1, 4]

e)

(-2, 6]

114.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

115.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

116.

f(x) = x+7 find f(4)

a)

11

b)

12

c)

9

d)

10

117.

Given f(x) = 4x - 10 and f(x) = 10. Find x

a)

x = 14

b)

x = -6

c)

x = -50

d)

x = 5

118.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

119.

GCF stands for...

a)

great calculator festival

b)

giant circumference fact

c)

grouped calculation finder

d)

greatest common factor

120.

Name the parent function.

a)

linear

b)

quadratic

c)

absolute value

d)

cubic

121.

Name the parent function.

a)

linear

b)

quadratic

c)

cubic

d)

logarithmic

122.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

123.

Name the parent function.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

124.

Name the parent function.

a)

linear

b)

constant

c)

absolute value

d)

quadratic

125.

Name the parent function.

a)

square root

b)

quadratic

c)

cubic

d)

exponential

126.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

127.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

128.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x) = x²

c)

f(x) =√(x)

d)

f(x) =∛(x)

129.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

130.

Find f(4)

a)

5

b)

4

c)

3

d)

0

131.

What are the names of these people?

a)

The Malfoys

b)

The Weasleys

c)

The Lovegoods

d)

The Potters

Adv. Alg. Ch. 2 Extra Practice

Total questions: 131

Worksheet time: 6hrs 5mins

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