Question

What is the vertex of `y= 1/4(x+2)^2 - 9`?

Answer 1

`(-2, -9)`

Explanation:

This problem is actually already set up in vertex form. From here, we have all the info we need.
`1/4(xcolor(green)(+)color(blue)(2))^2color(red)(-9)` tells us that the vertex is `(color(green)(-)color(blue)(2), color(red)(-9))`.

Notice that the sign switched for `color(blue)(2)`. But That's the only really "tricky" thing about thid type of problem. It Really is pretty easy. Just switch the sign for the `color(blue)(x)`-component, and leav the sign alone for the `color(red)(y)`-component.