Question

What is the vertex form of `y=7x^2-14x-6`?

Answer 1

`y=7(x-2)^2-13`

Explanation:

`y=7x^2-14x-6`

`y+6=7x^2-14x`

`y+6=7(x^2-2x)`

`y+6 + 7c=7(x^2-2x+c)`

`c=(-2/2)^2= 1`

`y+6 + 7*1=7(x^2-2x+1)`

`y+13=7(x-2)^2`

`y=7(x-2)^2-13`