Question

Find the vertex of this parabola: y=-x^2+2x-7

Answer 1

y=−x2+2x−7y=-x2+2x-7Complete the square on the right side of the equation.Tap for more steps...−(x−1)2−6-(x-1)2-6Reorder the right side of the equation to match the vertex form of a parabola.y=−(x−1)2−6y=-(x-1)2-6Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk.a=−1a=-1h=1h=1k=−6k=-6Find the vertex (h,k)(h,k).(1,−6)(1,-6)