Question

For f(x) = x^2 and g(x) = (x − 3)^2, in which direction and by how many units should f(x) be shifted to obtain g(x)?


Left 3 units
Right 3 units
Up 3 units
Down 3 units

Answer 1

In a function, if you replace x by x - k, the function shifts k units to the right if k is positive and k units to the left if k is negative.

Answer 2

In your case, x was replaced by x - 3.
If you let
x - k = x - 3
what is the value of k in your case?

Answer 3

-3?