SOLUTION: How do you write in the form of y=a(x-p)2+q from y=x2-6x+10?

Question 17561: How do you write in the form of y=a(x-p)2+q from y=x2-6x+10?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Use the process called "completing the square". Given:
you need to write this in the form

You do this by taking the coefficient of x, which is -6, and take half of it, and square, which is +9. The trick is to add +9 and subtract 9 on the right side, in order to do what needs to be done, but keep the equation the same.

Notice that the quantity is a perfect square trinomial, and .

So, write:

That should do it! In your formula, a=1, p=3 and q = 1. Right??

Also, the vertex is at x=3 and y = 1, which is (p,q) = (3,1)!

Is (3.1) the vertex of this parabola???

R^2 at SCC
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