Absolute Value Functions and Translations Answers

Which functions have a vertex with a x-value of 0? Select three options.

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?

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

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

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 + 2| as a solid line?

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

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

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

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

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