Graphing Quadratics in Standard Form

Question

Put the equation y=x2+20x+91 into the form y=(x−h)^2

Vertex Form:

Answer 1

y = x^2 +20x+91

add 100 and subtract 100, complete the square

y = (x^2 + 20x + 100) + 91-100

y = (x+10)^2- 9 is the equation in vertex form

general form is: y = (x-h)^2 +k where (h,k)=(-10,-9) = the vertex = the minimum point