Lindsey N. answered • 03/16/16

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Hi Yo, completing the square is the fastest method to use to write the equation in vertex form.

Remember that (x-h)

^{2}= x^{2}- 2xh + h^{2}.We can apply this observation to your problem. The -2x in the problem statement is equal to -2xh. That allows us to solve for h very easily where h = 1.

-2x = -2xh (divide both sides by -2x)

1 = h

When we add h

^{2}to the problem, we need to remember to subtract it as well. I encourage my students to set up their problem like this:(x

^{2}- 2x + _______) - 63 - _______(x

^{2}- 2x + ___1___) - 63 - ___1___From here we can easily simplify to vertex form:

y= (x-1)

^{2}- 64This gives the coordinates of the vertex as (1, -64).

I hope this helps!

Lindsey