AnswersFL-1200710-Mathematics for College Algebra AModeling with Systems of Linear Equations

Absolute Value Functions and Translations Answers

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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}
3

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.
9

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
10

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)

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