9
QuizMultiple Choice

Absolute Value Functions — Quiz

Question 9 • Algebraic Reasoning

Which of the following is the parent function of all absolute value functions?

Answer
A
f of x is equal to absolute value of x
B
f of x is equal to x squared
C
f of x is equal to 3 x
D
f of x is equal to 2 absolute value of x

Explanation

The parent function is the simplest form of a family of functions, before transformations such as stretching or shifting. For absolute value functions, that basic form is f(x) = |x|. Choice C is the parent function; choice D is a vertical stretch of it by a factor of 2.

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