Absolute Value Functions and Translations

Question 1

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

Revolt · Accepted Answer

h must be negative and k must be positive.

Question 2

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

Revolt · Accepted Answer

(10, ∞)

Question 3

What is the vertex of the graph of g(x) = |x – 8| + 6?

Revolt · Accepted Answer

(8, 6)

Question 4

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

Question 5

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

Revolt · Accepted Answer

(–∞, 0)

Question 6

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).

Revolt · Accepted Answer

g(x) = |x + 4| – 10

Question 7

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

Question 8

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 9

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

Revolt · Accepted Answer

k = –2.5

Question 10

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?

Revolt · Accepted Answer

The range changes from {y | y > 0} to {y | y > 2}.

Absolute Value Functions and Translations Answers

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