Absolute Value Functions — Quiz Answers…

1

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What is the vertex of f of x is equal to start absolute value x plus 8 end absolute value minus 3 ?

A

open paren negative 8 comma 3 close paren

B

open paren 8 comma negative 3 close paren

C

open paren negative 8 comma negative 3 close paren

D

open paren 8 comma 3 close paren

2

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Which statement is true about f of x is equal to negative 6 start absolute value x plus 5 end absolute value minus 2 ?

A

The graph of f of x opens to the right.

B

The graph of f of x opens upward.

C

The graph of f of x is a horizontal stretch of the graph of the parent function.

D

The graph of f of x is a horizontal compression of the graph of the parent function.

3

Which of the following is the graph of f of x is equal to negative 0 point 5 start absolute value x plus 3 end absolute value minus 2 ?

A

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 7 to 3 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 7 comma 0) and (1 comma 0).

B

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing down. The vertex is at (3 comma 2), and the function passes through (negative 1 comma 0) and (7 comma 0).

C

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 7 to 3 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing down. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 5 comma negative 3) and (negative1 comma negative 3).

D

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 2 to 8 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (3 comma 2), and the function passes through (negative 1 comma 6) and (7 comma 6).

4

The standard form of an absolute value function is f of x is equal to A start absolute value x minus h end absolute value plus k Which of the following represents the vertex?

A

open paren h comma k close paren

B

open paren negative h comma k close paren

C

open paren k comma h close paren

D

open paren negative k comma h close paren

5

What are the domain and range of f of x is equal to 2 start absolute value x minus 4 end absolute value ?

A

domain: open paren negative infinity comma infinity close paren ; range: f of x is greater than or equal to 0

B

domain: open paren negative infinity comma infinity close paren ; range: f of x is less than or equal to 0

C

domain: x is greater than or equal to 2 ; range: open paren negative infinity comma infinity close paren

D

domain: x is less than or equal to 2 ; range: open paren negative infinity comma infinity close paren

6

Which of the following is the value of a when the function f of x is equal to 3 absolute value of x is written in the standard form of an absolute value function?

A

1

B

3

C

negative 1

D

negative 3

7

Which of the following is the graph of f of x is equal to absolute value of x translated 2 units right, 2 units up, and dilated by a factor of 1 third ?

A

Image with description On a coordinate plane, the x and y axes are listed from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (2 comma negative 2) and the graph passes through the points (0 comma 4) and (4 comma 4).

B

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (negative 2 comma 2), and the function passes through (negative 5 comma 3) and (1 comma 3).

C

Image with description On a coordinate plane, the x and y axes range from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (2 comma 2) and the graph passes through the points (negative 1 comma 3) and (5 comma 3).

D

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (2 comma 2), and the function passes through (1 comma 5) and (3 comma 5).

8

Which function has a vertex at open paren 2 comma 6 close paren ?

A

f of x is equal to 2 start absolute value x minus 2 end absolute value plus 6

B

f of x is equal to 2 start absolute value x plus 2 end absolute value plus 6

C

f of x is equal to 2 start absolute value x plus 2 end absolute value minus 6

D

f of x is equal to 2 start absolute value x minus 2 end absolute value minus 6

9

Which of the following is the parent function of all absolute value functions?

A

f of x is equal to 3 x

B

f of x is equal to x squared

C

f of x is equal to absolute value of x

D

f of x is equal to 2 absolute value of x

10

Which function is a translation of the parent absolute value function?

A

f of x is equal to negative 4 absolute value of x

B

f of x is equal to absolute value of x

C

f of x is equal to 2 absolute value of x

D

f of x is equal to start absolute value x plus 6 end absolute value

11

Which function has a vertex at open paren 2 comma 6 close paren ?

A

f of x is equal to 2 start absolute value x minus 2 end absolute value plus 6

B

f of x is equal to 2 start absolute value x minus 2 end absolute value minus 6

C

f of x is equal to 2 start absolute value x plus 2 end absolute value plus 6

D

f of x is equal to 2 start absolute value x plus 2 end absolute value minus 6

12

What are the domain and range of f of x is equal to 2 start absolute value x minus 4 end absolute value ?

A

domain: x is greater than or equal to 2 ; range: open paren negative infinity comma infinity close paren

B

domain: x is less than or equal to 2 ; range: open paren negative infinity comma infinity close paren

C

domain: open paren negative infinity comma infinity close paren ; range: f of x is greater than or equal to 0

D

domain: open paren negative infinity comma infinity close paren ; range: f of x is less than or equal to 0

13

Which function is a translation of the parent absolute value function?

A

f of x is equal to absolute value of x

B

f of x is equal to negative 4 absolute value of x

C

f of x is equal to start absolute value x plus 6 end absolute value

D

f of x is equal to 2 absolute value of x

14

Which statement is true about f of x is equal to negative 6 start absolute value x plus 5 end absolute value minus 2 ?

A

The graph of f of x opens to the right.

B

The graph of f of x is a horizontal compression of the graph of the parent function.

C

The graph of f of x opens upward.

D

The graph of f of x is a horizontal stretch of the graph of the parent function.

15

The standard form of an absolute value function is f of x is equal to A start absolute value x minus h end absolute value plus k Which of the following represents the vertex?

A

open paren k comma h close paren

B

open paren negative k comma h close paren

C

open paren h comma k close paren

D

open paren negative h comma k close paren

16

Which of the following is the graph of f of x is equal to negative 0 point 5 start absolute value x plus 3 end absolute value minus 2 ?

A

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 7 to 3 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 7 comma 0) and (1 comma 0).

B

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing down. The vertex is at (3 comma 2), and the function passes through (negative 1 comma 0) and (7 comma 0).

C

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 2 to 8 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (3 comma 2), and the function passes through (negative 1 comma 6) and (7 comma 6).

D

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 7 to 3 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing down. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 5 comma negative 3) and (negative1 comma negative 3).

17

Which of the following is the graph of f of x is equal to absolute value of x translated 2 units right, 2 units up, and dilated by a factor of 1 third ?

A

Image with description On a coordinate plane, the x and y axes are listed from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (2 comma negative 2) and the graph passes through the points (0 comma 4) and (4 comma 4).

B

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (negative 2 comma 2), and the function passes through (negative 5 comma 3) and (1 comma 3).

C

Image with description On a coordinate plane, the x and y axes range from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (2 comma 2) and the graph passes through the points (negative 1 comma 3) and (5 comma 3).

D

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (2 comma 2), and the function passes through (1 comma 5) and (3 comma 5).

18

Which of the following is the value of a when the function f of x is equal to 3 absolute value of x is written in the standard form of an absolute value function?

A

1

B

negative 3

C

3

D

negative 1

19

Which of the following is the parent function of all absolute value functions?

A

f of x is equal to 2 absolute value of x

B

f of x is equal to absolute value of x

C

f of x is equal to 3 x

D

f of x is equal to x squared

20

What is the vertex of f of x is equal to start absolute value x plus 8 end absolute value minus 3 ?

A

open paren 8 comma negative 3 close paren

B

open paren 8 comma 3 close paren

C

open paren negative 8 comma negative 3 close paren

D

open paren negative 8 comma 3 close paren

Absolute Value Functions — Quiz Answers

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