Question

complete the square to rewrite the quation in vertex form.
a) y= -x^2+2x-7
b) y= 2x^2+6x-5
(they are 2 separate problems) please help me. thanks so much.

Answer 1

a) y=-(x^2-2x+7)=-[(x-1)^2+6]=-(x-1)^2-6
b)y=2(x^2+3x-5/2)=2[(x+3/2)^2-19/4]=2(x+3/2)^2-19/2