How do you find the vertex of a parabola y=(-x-1)(x+7)?

1 Answer
Apr 2, 2018

Vertex is at (-4,9)

Explanation:

y=(-x-1)(x+7) or y= -(x+1)(x+7) or

y= -(x^2+8x+7) or y= -(x^2+8x)-7 or

y= -(x^2+8x+16)+16-7 or

y= -(x+4)^2+9. Comparing with vertex form of

equation y = a(x-h)^2+k ; (h,k) being vertex we find

here h=-4 , k=9 :. Vertex is at (-4,9)

graph{(-x-1)(x+7) [-25.32, 25.3, -12.66, 12.66]} [Ans]