Absolute Value Functions and Translations

Question 1

What is the vertex of the graph of f(x) = |x + 5| – 6?

Revolt · Accepted Answer

(–5, –6)

Question 2

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

Revolt · Accepted Answer

(10, ∞)

Question 3

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).

Revolt · Accepted Answer

h = –1.5

Question 4

What is the range of the function g(x) = |x – 12| – 2?

Revolt · Accepted Answer

{y | y > –2}

Question 5

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

Revolt · Accepted Answer

(–∞, 0)

Question 6

Which graph represents the function f(x) = |x + 3|?

Revolt · Accepted Answer

On a coordinate plane, an absolute value graph has a vertex at (negative 3, 0).

Absolute Value Functions and Translations Answers