# How do you graph #y=-x^2-8x-13#?

##### 1 Answer

This is the equation of a PARABOLA (basically in the shape of "U").

Consider the general form of your equation given by:

in your case:

With this in mind you can start:

You have several interesting points to consider in order to plot your graph.

1) The vertex: this is the lowest point reached by your parabola.

The coordinates of this point are given by:

Where

giving:

2) the y-axis intercept:

obtained setting

giving:

3) The x-axis intercept(s):

obtained setting

i.e.:

giving:

Your Parabola has

Finally:

graph{-x^2-8x-13 [-10, 10, -5, 5]}