Given the function y=f(x) what transformation occurs if: a) y is replaced with 2y b) x is replaced with 2x

A) 2y = f(x)    ⇒ y = f(x)   →  This is a vertical shrink by a factor of

B) y = f(2x)   →  This is a horizontal shrink by a factor of

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get