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

##### 1 Answer

Apr 8, 2017

#### 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]}