Question

If you shift the quadratic parent function, `f(x)=x^2` down 9 units, what is the equation of the new function?

Answer 1

`f(x) = x^2-9`

Explanation:

The parent function is translated `(0¦(-9))`
`(0¦(-9))` is usually written as a column vector.

More generally if `f(x`) is transformed to `f(x)±k`, the new function is `f(x)+k` or `f(x)-k`

eg `f(x) = 3cos 2x` is transformed to `f(x)-4`,
the new function is `3cos2x -4`