Mathematics: 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

V(initial)=pi*(r^2)*hv(new)= pi(2r)^2*(h/2)= pi*4*(r^2)*h/2=2*pi*(r^2)*h=2v(initial)volume will be doubled...

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

ladyree8721

06.01.2022

ANSWER

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

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,

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

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