Question

The graph represents the function a.) f(x)=-2|x|/3 b.) f(x)=-2|x| c.) f(x)=-3|x|/2 d.) f(x)=-|x|/3

Answer 1

ANSWER

d.

$f(x) = - \frac{1}{3} |x|$

EXPLANATION

The parent function is

$f(x)= |x|$

This function has been reflected in the x-axis and stretched horizontally.

The new equation is in the form:

$f(x)= - a |x|$

The point, (3,-1) must satisfy this equation,

$- 1 = - a | 3|$

$3a = 1$

This implies that,

$a = \frac{1}{3}$

Hence the correct equation is,

$f(x) = - \frac{1}{3} |x|$