Question

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

Answer 1

`(-1/3,-5/3)`

Explanation:

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

`rArra=-3,b=-2" and " c=-2`

`x_(color(red)"vertex")=-b/(2a)=2/(-6)=-1/3`

To obtain y-coordinate substitute this value into the equation.

`rArry_(color(red)"vertex")=-3(-1/3)^2-2(-1/3)-2`

`color(white)(rArry_"vertex")=-1/3+2/3-6/3=-5/3`

`rArrcolor(magenta)"vertex" =(-1/3,-5/3)`
graph{-3x^2-2x-2 [-10, 10, -5, 5]}