Question

If you vertically compress the linear parent function, F(x) = x, by multiplying by 1/2 , what is the equation of the new function?

Answer 1

A. G(x) = x - 1/2

B. G(x) = 2x

C. G(x) = 1/2 x

D. G(x) = x + 1/2

The answer is C. G(x) = 1/2 x

Answer 2

Vertical compression of a function is moving the graph of the function towards the x axis.
It is done by multiplying F(x) with IaI<1, the absolute value of a is less than 1. Then we get f(x)=a*F(x).

If we have a function F(x)=x, and we multiply it by a=1/2, we get:

f(x)=a*F(x)=a*x=(1/2)*x.

This linear function is vertically compressed because the the graph of a new function is closer to the x axis.