# How do you find the vertex and axis of symmetry, and then graph the parabola given by: # y = –x^2 + 4x + 2#?

##### 1 Answer

Oct 10, 2015

Vertex is

Axis of symmetry

#### Explanation:

Given -

#y=-x^2+4x+2#

Find Vertex

#x=(-b)/(2a)=(-4)/(2 xx -1) =(-4)/(-2)=2#

At

#y =-(2^2)+4(2)+2#

#y =-4+8+2=-4+10=6#

Vertex is

Axis of symmetry

Take two values on either side of

x y

0 2

1 5

2 6

3 5

4 2

graph{-x^2+4x+2 [-14.23, 14.24, -7.12, 7.11]}