AnswersAlgebra I B CR 24Absolute Value Functions and Translations

Absolute Value Functions and Translations Answers

9 verified answers
1
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On a coordinate plane, an absolute value graph has a vertex at (10, 6).

Question illustration
A
(–∞, 6)
B
(–∞, 10)
C
(6, ∞)
D
(10, ∞)
2
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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
3

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

A
Option
B
Option
C
Option
D
Option
4

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

Question illustration
A
(–∞, ∞)
B
(–∞, 0)
C
(–6, 0)
D
(0, ∞)
5

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
6

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
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

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}.
9

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}
10

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

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