What is the vertex of the graph of f(x) = |x + 5| – 6?

A

(–6, –5)

B

(–6, 5)

C

(–5, –6)

D

(5, –6)

2

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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

3

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.

4

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

5

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

6

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

A

Option

B

Option

C

Option

D

Option

7

Which graph represents the function r(x) = |x – 2| – 1

A

Option

B

Option

C

Option

D

Option

8

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

A

(–∞, 6)

B

(–∞, 10)

C

(6, ∞)

D

(10, ∞)

9

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

10

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}

Absolute Value Functions and Translations Answers

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