How do you graph and identify the vertex and axis of symmetry for y=13x22x3?

1 Answer
Dec 13, 2017

The Axis of symmetry is the vertical line x=3

The coordinates of the vertex are (3,6)

Explanation:

This is a quadratic function in the form ax2+bx+c=y. With a=(13),b=2,andc=3
When in this form the axis of symmetry is the vertical line x=b2a
Here this becomes x=22(13)=3.
This is the line of symmetry and the x value of the vertex.

The y value of the vertex is then found by plugging the x value of the line of symmetry into the original equation and solving for y
y=(13)x22x3=(13)(3)22(3)3=6

So the coordinates of the vertex are (3,6)