Absolute Value Functions — Quiz Answers…

1

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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 is a horizontal compression of the graph of the parent function.

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 opens upward.

2

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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 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).

B

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).

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 up. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 7 comma 0) and (1 comma 0).

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).

3

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 negative k comma h close paren

D

open paren k comma h close paren

4

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 minus 6

B

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

5

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

6

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: x is greater 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 less than or equal to 0

D

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

7

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

A

f of x is equal to 2 absolute value of x

B

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

C

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

D

f of x is equal to absolute value of x

8

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

negative 1

D

3

9

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

A

f of x is equal to absolute value of x

B

f of x is equal to x squared

C

f of x is equal to 3 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 2 absolute value of x

C

f of x is equal to absolute value of x

D

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

11

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 less than or equal to 0

B

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

C

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

D

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

12

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

A

f of x is equal to x squared

B

f of x is equal to 2 absolute value of x

C

f of x is equal to 3 x

D

f of x is equal to absolute value of x

13

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 negative k comma h close paren

B

open paren k comma h close paren

C

open paren h comma k close paren

D

open paren negative h comma k close paren

14

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 negative 3 close paren

B

open paren 8 comma 3 close paren

C

open paren 8 comma negative 3 close paren

D

open paren negative 8 comma 3 close paren

15

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 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).

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 (2 comma 2), and the function passes through (1 comma 5) and (3 comma 5).

C

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).

D

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).

16

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

17

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 minus 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 minus 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

18

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

19

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 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).

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 up. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 7 comma 0) and (1 comma 0).

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).

20

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

B

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

Absolute Value Functions — Quiz Answers

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