Question

Find g(x) where g(x) is the translation 3 units right of f(x)=x^2

Answer 1

g(x) = x^2 -6x +9

Explanation:

A function f(x) translated right h units and up k units will become ...

g(x) = f(x -h) +k

You want the function f(x) = x^2 to be translated right h=3 units, so it will become ...

g(x) = f(x -3) = (x -3)^2

g(x) = x^2 -6x +9