Describe the transformation of f(x)=x^2 represented by g. g(x) = (x-5)^2+3

Answer 1

The transformations of f(x) = x² are:

g(x) = a·(x-b)² + c

1. a = vertical dilation
2. b = horizontal shift: to the right if b > 0, to the left if b < 0
3. c = vertical shift: up if c > 0, down if c < 0

Can you figure it out?