# What is the axis of symmetry and vertex for the graph #y = -2x^2 + 10x - 1#?

##### 1 Answer

Jul 23, 2017

Axis of symmetry is

#### Explanation:

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

#=-2(x^2-5x)-1#

#=-2(x^2-2xx5/2xx x+(5/2)^2)+2(5/2)^2-1#

#=-2(x-5/2)^2+23/2#

Hence axis of symmetry is

graph{(y+2x^2-10x+1)(2x-5)((x-5/2)^2+(y-23/2)^2-0.04)=0 [-19.34, 20.66, -2.16, 17.84]}