# What is the axis of symmetry and vertex for the graph #y=-2x^2 +4x +2 #?

##### 1 Answer

Jul 24, 2017

Axis of symmetry is

#### Explanation:

To find axis of symmetry and vertex, weshould convert the equation to its vertex form

#=-2(x^2-2x)+2#

#=-2(x^2-2x+1)+2+2#

#=-2(x-1)^2+4#

Hence axis of symmetry is

graph{(y+2x^2-4x-2)(x-1)((x-1)^2+(y-4)^2-0.02)=0 [-10, 10, -5, 5]}