What is the vertex form of y=x^2 -2x-15?

May 9, 2018

Vertex form of equation is $y = {\left(x - 1\right)}^{2} - 16$

Explanation:

$y = {x}^{2} - 2 x - 15$ or

$y = \left({x}^{2} - 2 x + 1\right) - 16$ or

$y = {\left(x - 1\right)}^{2} - 16$ Comparing with vertex form of

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

here $h = 1 , k = - 16 \therefore$ Vertex is at $\left(1 , - 16\right)$ ) and vertex

form of equation is $y = {\left(x - 1\right)}^{2} - 16$

graph{x^2-2x-15 [-40, 40, -20, 20]} [Ans]