Describe and fine the transformation of the following function from its parent f(x) = x

Question

g(x) = f(x+6)+7

Describe and fine the transformation of the following function from its parent f(x) = x

 

Answer 1

You are given the parent function, f(x) = x.

The transformation function is g(x) = f(x + 6) + 7

Plug in x + 6 for x to get f(x + 6) + 7 = x + 6 + 7 = x + 13

Since this is a linear function, the transformation function is (x - h) + k.

Think opposite h, same k. h = -6 and k = 7.

We will translate 6 units to the left and 7 units upward.