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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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
2
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On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5).

Question illustration
A
k = –2.5
B
k = –1
C
k = 1
D
k = 2.5
3

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

Question illustration
A
(–∞, ∞)
B
(–∞, 0)
C
(–6, 0)
D
(0, ∞)
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 + 2| as a solid line?

A
Option
B
Option
C
Option
D
Option
5

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
6

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

Question illustration
A
(–∞, 6)
B
(–∞, 10)
C
(6, ∞)
D
(10, ∞)
7

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)
8

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

A
Option
B
Option
C
Option
D
Option
9

Which functions have a vertex with a x-value of 0? Select three options.f(x) = |x|f(x) = |x| + 3f(x) = |x + 3|f(x) = |x| − 6f(x) = |x + 3| – 6

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
10

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

A
Option
B
Option
C
Option
D
Option

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