Find g(x), where g(x) is the translation 4 units left of f(x)=x^2. Write your answer in the form a(x–h)^2+k, where a, h, and k are integers. g(x)=what?

Answer 1

shift a curve left by 4 means change x to x+4

f(x) =x^2 becomes g(x) =a(x-h)^2 + k = (x- -4)^2 or (x+4)^2 where a=1, h=-4, k=0

g(x) = (x+4)^2

vertex used to be the origin (0,0), now it's (-4,0) which is 4 units to the left