What is the vertex form of y=x^2-16x+63y=x216x+63?

1 Answer
Jan 24, 2016

y=(x-8)^2 - 1y=(x8)21

Explanation:

y=x^2-16x+63y=x216x+63

We need to convert our equation to the form y=a(x-h)^2+ky=a(xh)2+k

Let us use completing the square.

y=(x^2-16x) + 63y=(x216x)+63

We need to write x^2-16xx216x as a perfect square.

For this divide coefficient of xx by 22 and square the result and add and subtract with the expression.

x^2-16x +64 - 64x216x+6464

This would become (x-8)^2 - 64(x8)264

Now we can write our equation as

y=(x-8)^2-64 + 63y=(x8)264+63

y=(x-8)^2 - 1y=(x8)21

This is the vertex form.