1

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On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x| – 4 as a solid line?

A

Option

B

Option

C

Option

D

Option

2

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On a coordinate plane, an absolute value graph has a vertex at (10, 6).

A

(–∞, 6)

B

(–∞, 10)

C

(6, ∞)

D

(10, ∞)

3

Which graph represents the function h(x) = |x| + 0.5?

A

Option

B

Option

C

Option

D

Option

4

On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).

A

Both h and k must be positive.

B

Both h and k must be negative.

C

h must be positive and k must be negative.

D

h must be negative and k must be positive.

5

What is the vertex of the graph of g(x) = |x – 8| + 6?

A

(6, 8)

B

(8, 6)

C

(6, –8)

D

(–8, 6)

6

What is the range of the function g(x) = |x – 12| – 2?

A

{y | y > –2}

B

{y | y > –2}

C

{y | y > 12}

D

{y | y > 12}

7

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).

A

h = –3.5

B

h = –1.5

C

h = 1.5

D

h = 3.5

8

Which functions have a vertex with a x-value of 0? Select three options.

A

f(x) = |x|

B

f(x) = |x| + 3

C

f(x) = |x + 3|

D

f(x) = |x| − 6

E

f(x) = |x + 3| – 6

9

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).

A

g(x) = |x – 4| – 10

B

g(x) = |x + 4| – 10

C

g(x) = |x – 10| + 4

D

g(x) = |x + 10| – 4

10

On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

A

Option

B

Option

C

Option

D

Option

Absolute Value Functions and Translations Answers

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