Thread: Quadratic - Vertex Form

Hey, I am doing this review and have a question (and may have a few more) It's been so long since I have done this I forget!

What value of p and q make x²+14x=(x-h)²+k

Originally Posted by Constance

Hey, I am doing this review and have a question (and may have a few more) It's been so long since I have done this I forget!

What value of p and q make x²+14x=(x-h)²+k

there doesn't seem to be a p and a q, but i will take a stab in the dark you mean this


we will complete the square for x²+14x

x² + 14x + 49 (you halve the 14 = 7 and then square the result = 49)

then to balance the addition of 49 you need to subtract 49 as well

x² + 14x + 49 - 49

factoring:

(x + 7)² - 49


hope that is what you are after