Question

Find g(x), where g(x) is the translation 5 units down of f(x)=x2.

Write your answer in the form a(x–h)2+k, where a, h, and k are integers.

Answer 1

If we want to translate (aka move)
`f(x) = x^2` down 5 units, we need to subtract 5 from the
`x^2`.

`g(x) = x^2-5`

The
`k` in the
`a(x-h)^2 +k` form will always be the vertical translation component. If you translate up,
`k` is positive. If you translate down,
`k` is negative.