Question

What is the vertex form of `y= - 3x^2 - 12x - 7`?

Answer 1

`"The vertex form is "y=-3(x+2)^2+5`

Explanation:

`y=-3x^2-12x-7`

`y=-3x^2-12xcolor(red)(-12+12)-7`

`y=-3x^2-12x-color(red)(12)+5`

`y=-3(color(green)(x^2+4x+4))+5`

`color(green)(x^2+4x+4)=(x+2)^2`

`y=-3(x+2)^2+5`