# How do you graph and label the vertex and axis of symmetry #y=x^2+2x#?

##### 1 Answer

See below.

#### Explanation:

To graph we need to find significant points.

The y axis intercept occurs where

So:

Factor

So parabola intercepts

Since you need to label vertex and axis of symmetry you will need to arrange

Where

To do this place a bracket around the terms containing the variable.

Factor out the coefficient of

Add the square of half the coefficient of

Make

We now have:

We can now see that the axis of symmetry is

Minimum value is

We know this is a minimum value because the coefficient of

Since the coordinates of the vertex is ( axis of symmetry, max/min value).

We have:

Graph of

graph{y=x^2+2x [-5, 5, -3, 5.625]}