We should recall the vertex form of a parabola:
where is the vertex of the parabola.
We need to rewrite in vertex form.
Let us first start off by grouping the first two terms together:
Now, pull out a common factor a:
Now complete the square:
Thus, we see that we end up with:
So our vertex would then be
Now use this to determine the vertex of , where , , and .
Does this make sense? If you still have questions, feel free to ask.