Which translation maps the graph of the function f (x) = x2 onto the function g (x) = x2 - 6x + 6?

left 3 units, down 3 units

right 3 units, down 3 units

left 6 units, down 1 unit

right 6 units, down 1 unit

A parent function f (x) can be translated to the right by h and up by k using the the following rule:

G (x) = f (x-h) + k, where (h, k) is the translation vector.

f (x) = x^2

G (x) = f (x-h) + k=x^2-6x+9 - 3 = (x-3) ^2 - 3

so h=3, k=-3.

Recall the rule: h>0 = > right, k>0 = > up.