Answers Algebra I B CR 24Absolute Value Functions and Translations

Absolute Value Functions and Translations Answers

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

Option

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

Option

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

(–∞, 6)

(–∞, 10)

(6, ∞)

(10, ∞)

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

{y | y > –2}

{y | y > 12}

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

h = –3.5

h = –1.5

h = 1.5

h = 3.5

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

k = –2.5

k = –1

k = 1

k = 2.5

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

(–6, –5)

(–6, 5)

(–5, –6)

(5, –6)

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?

The range is the same for both functions: {y | y is a real number}.

The range is the same for both functions: {y | y > 0}.

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

The range changes from {y | y > 0} to {y | y > 6}.

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

(6, 8)

(8, 6)

(6, –8)

(–8, 6)

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

Both h and k must be positive.

Both h and k must be negative.

h must be positive and k must be negative.

h must be negative and k must be positive.

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Absolute Value Functions and Translations Answers

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