Question

Complete the square to re-write the quadratic function in vertex form

Answer 1

y(x)=7x^2+56x+115

y(x)=7(x^2+8x+115/7) ( Factor out )

y(x)=7(x^2+8x+(4)^2-1(4)^2+115/7) ( Complete the square )

y(x)=7((x+4)^2-1(4)^2+115/7) ( Use the binomial formula )

y(x)=7((x+4)^2+3/7) ( simplify )

y(x)=7*(x+4)^2+3 done!

Explanation:

hope helps:)