Absolute Value Functions and Translations

Question 1

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 2

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).

Question 3

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

Revolt · Accepted Answer

k = –2.5

Question 4

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

Question 5

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

Revolt · Accepted Answer

(–∞, 0)

Question 6

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

Revolt · Accepted Answer

{y | y > –2}

Question 7

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

Revolt · Accepted Answer

(–5, –6)

Question 8

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

Revolt · Accepted Answer

(8, 6)

Question 9

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

Revolt · Accepted Answer

(10, ∞)

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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