Question

which equation represents the vertex form of the equation y=x^2+2x-6 a. y=(x+2)^2-7 b. y=(x+2)^2-6 c. y=(x+1)^2-6 d. y=(x+1)^2-7

Answer 1

y=1*(x+1)^2+(-7)

Explanation:

y)=1*x^2+2*x+(-6)

y=x^2+2*x+(1)^2+(-1)*(1)^2+(-6) ( Complete the square )

y=(x+1)^2+(-1)*(1)^2+-6 ( Use the binomial formula )

y=(x+1)^2+(-7) ( simplify )

y=1*(x+1)^2+(-7)