AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Absolute Value Functions and Translations Answers

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21
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On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).

Question illustration
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.
22
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Which graph represents the function h(x) = |x| + 0.5?

A
Option
B
Option
C
Option
D
Option
23

The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?

A
The range is the same for both functions: {y | y is a real number}.
B
The range is the same for both functions: {y | y > 0}.
C
The range changes from {y | y > 0} to {y | y > 2}.
D
The range changes from {y | y > 0} to {y | y > 6}.
24

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}
25

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?

Question illustration
A
Option
B
Option
C
Option
D
Option
26

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

Question illustration
A
(–∞, 6)
B
(–∞, 10)
C
(6, ∞)
D
(10, ∞)
27

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

Question illustration
A
g(x) = |x – 4| – 10
B
g(x) = |x + 4| – 10
C
g(x) = |x – 10| + 4
D
g(x) = |x + 10| – 4
28

Which graph represents the function f(x) = |x + 3|?

A
On a coordinate plane, an absolute value graph has a vertex at (0, 3).
Option A
B
On a coordinate plane, an absolute value graph has a vertex at (negative 3, 0).
Option B
C
On a coordinate plane, an absolute value graph has a vertex at (0, negative 3).
Option C
D
On a coordinate plane, an absolute value graph has a vertex at (3, 0).
Option D
29

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

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