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

d.

`f(x) = - (1)/(3) |x|`

Step-by-step 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 = (1)/(3)`

Hence the correct equation is,

`f(x) = - (1)/(3) |x|`