Reflections and Dilations of Absolute Value Functions Answers

Which describes how the parent function, f(x) = |x|, is transformed to show the function f(x) = 0.1|x – 3|?

all real numbers✔ all real numbers greater than or equal to 0all real numbers greater than or equal to 0.5

The domain of the function is .

Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.f(x) = |x|f(x) = |x – 2|f(x) = |x| + 3f(x) = 2.9|x|f(x) = 1.2|x + 8|f(x) = 0.7|x| – 3.2

Which graph represents the function f(x) = 2|x|?

Which is the equation of the function?

Which function is represented by the graph?

The graph of f(x) = |x| has been stretched by a factor of 2.5. If no other transformations of the function have occurred, which point lies on the new graph?

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.

✔ wider narrowerX higherlower

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

What did you include in your response? Check all that apply.