Unit 2 Test — Unit test Answers

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21
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What number should be added to both sides of the equation to complete the square? x2 + 12x = 11

Answer not available
23

What is the first step in solving the quadratic equation -5x2+8=133?

A
taking the square root of both sides of the equation
B
subtracting 8 from both sides of the equation
C
squaring both sides of the equation
D
adding 8 to both sides of the equation
25

What are the values of a, b, and c in the quadratic equation 0 = 5x – 4x2 – 2?

A
a = 5, b = 4, c = 2
B
a = 5, b = –4, c = –2
C
a = –4, b = 5, c = –2
D
a = 4, b = –5, c = –2
26

What number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Answer not available
27

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

A
left 1 unit, up 5 units
B
right 1 unit, up 5 units
C
left 2 units, up 2 units
D
right 2 units, up 2 units
28

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30

Which are the solutions of the quadratic equation?x2 = 9x + 6

A
StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction
Option A
B
StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction
Option B
C
StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction
Option C
D
StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction
Option D
31

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

A
left 4, down 9
B
left 4, up 23
C
right 4, down 9
D
right 4, up 23
32

Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options.

Question illustration
A
The vertex form of the function is f(x) = (x – 2)2 + 2.
B
The vertex of the function is (–3, –13).
C
The axis of symmetry for the function is x = 3.
D
The graph increases over the interval (–3, ).
Option D
E
The function does not cross the x-axis.
33

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35

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36

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

A
g(x) is shifted 3 units left and 9 units up.
B
g(x) is shifted 3 units right and 9 units up.
C
g(x) is shifted 9 units left and 3 units down.
D
g(x) is shifted 9 units right and 3 units down.
37

An algebra tile configuration. Only the Product spot is shown. 15 tiles are in the Product spot in 6 columns with 6 rows. First row: 1 + x squared, 5 negative x. Below the + x squared tile are 5 negative x tiles. Off to the right are 4 negative tiles in a separate column.

Question illustration
A
4
B
10
C
21
D
25
38

What value of c makes x2 − 12x + c a perfect square trinomial?

A
−36
B
−24
C
24
D
36
39

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40

Which are the solutions of x2 = –13x – 4?

A
0, 13
B
0, –13
C
StartFraction 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma StartFraction 13 + StartRoot 153 EndRoot Over 2 EndFraction
Option C
D
StartFraction negative 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma StartFraction negative 13 + StartRoot 153 EndRoot Over 2 EndFraction
Option D

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