AnswersAlgebra I B CR 24Absolute Value Functions and Translations

Absolute Value Functions and Translations Answers

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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?

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A
Option
B
Option
C
Option
D
Option
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?

Question illustration
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).

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
6

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

Question illustration
A
Option
B
Option
C
Option
D
Option
7

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
8

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.
10

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

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