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

Which graph represents the function h(x) = |x| + 0.5?

Question 3

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

Revolt · Accepted Answer

(8, 6)

Question 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| – 4 as a solid line?

Question 5

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}.

Question 6

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

Revolt · Accepted Answer

(10, ∞)

Absolute Value Functions and Translations Answers

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