Question

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

Answer 1

`y=(x-1)^2-16`

Explanation:

`"the equation of a parabola in "color(blue)"vertex form"` is.

`•color(white)(x)y=a(x-h)^2+k`

`"where "(h,k)" are the coordinates of the vertex and a"`
`"is a multiplier"`

`"to obtain this form "color(blue)"complete the square"`

`y=x^2+2(-1)x color(red)(+1)color(red)(-1)-15`

`y=(x-1)^2-16larrcolor(red)"in vertex form"`