The graph of the function fx x 1 4 is translated 2 units to

The graph of the function f(x) (x 1) 4 is translated 2 units to the right and 3 units up. a. Find the function g( in simplest vertex form, corresponding to the translated graph.

Solution

it looks like the original graph was moved up three units (so there is a \"+3\" outside) and shifted right two units (so there is a \"–2\" inside). Then the transformation is:

(x+1-2)²-4+3

(x-1)²-1

So the function is

g(x)= (x-1)²-1