AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Reflections and Dilations of Absolute Value Functions Answers

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

A
Option
B
Option
C
Option
D
Option
3

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}.
4

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)
5

Over which interval is the graph of the parent absolute value function decreasing?

Question illustration
A
(–∞, ∞)
B
(–∞, 0)
C
(–6, 0)
D
(0, ∞)
6

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

Question illustration
A
h = –3.5
B
h = –1.5
C
h = 1.5
D
h = 3.5
7

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
8

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

A
Option
B
Option
C
Option
D
Option
9

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
10

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

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

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Reflections and Dilations of Absolute Value…