Question

What is the the vertex of `y = 7x^2 - 2x-12`?

Answer 1

Vertex of `y=7x^2-2x-12` is `(1/7,-85/7)`

Explanation:

`y= 7x^2-2x-12`

`=7(x^2-2/7x)-12`

`=7(x^2-2xx1/7xx x +(1/7)^2)-1/7-12`

`=7(x-1/7)^2-85/7`

Now the equation is in vertex form `y=a(x-h)^2+k`, whose vertex is `(h,k)`

Hence vertex of `7x^2-2x-12` is `(1/7,-85/7)`

graph{7x^2-2x-12 [-3, 3, -15.92, 4.08]}