Absolute Value Functions and Translations

Question 1

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

Revolt · Accepted Answer

(10, ∞)

Question 2

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 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

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 5

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

Revolt · Accepted Answer

{y | y > –2}

Question 6

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

Revolt · Accepted Answer

k = –2.5

Question 7

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 8

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

Revolt · Accepted Answer

g(x) = |x + 4| – 10

Absolute Value Functions and Translations Answers

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