Reflections and Dilations of Absolute Value Functions Answers

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|?

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✔ wider narrowerhigherlower

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

Which is the equation of the function?

Determine the domain and range of the function f(x) = –|x| + 2.

Determine the domain and range of the function f(x) = –|x| + 2.

all real numbersall numbers greater than or equal to 2✔ all numbers less than or equal to 2

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.The parent function and this function open in the same direction.The parent function and this function have the same range.The parent function and this function have the same domain.The range of the function is all real numbers less than or equal to –2.The domain of the function is all real numbers greater than or equal to –2.There are no values from the domain of the parent function that are also in the domain of this function.