Question

What is the vertex form of `y=x^2+13x+30`?

Answer 1

`y=(x+13/2)^2-49/4`

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(13/2)x+169/4-169/4+120/4`

`color(white)(y)=(x+13/2)^2-49/4larrcolor(red)"in vertex form"`