Absolute Value Functions and Translations…

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

(–6, –5)

(–6, 5)

(–5, –6)

(5, –6)

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

Option

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

(6, 8)

(8, 6)

(6, –8)

(–8, 6)

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?

Option

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}.

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