f(x)=-3(x-2)^2+3 Basic function and transformation

Question

What is the basic function and all transformations of this graph

Answer 1

f(x) - 3(x - 2)² + 3

 

 

+3 means that we shift f(x) 3 units up from the origin.

(x - 2)²  means that we shift f(x) 2 units to the right from the origin.

-3  means that we stretch f(x) vertically by a factor of 3.  Since we have a negative sign in front of the entire function f(x)opens downward.