# How do you graph #y=x^2-14x+24#?

##### 1 Answer

You'll have a parabola passing through:

and vertex at

#### Explanation:

This is a **Quadratic** and its graph will be a **Parabola** (kind of "U" shaped curve). To plot it you may consider some interesting features of your equation:

1] the coefficient of

2] set

so your parabola will cross the y axis at

3] set

you get two values:

so your parabola crosses the x axis at

4] the vertex; this is a very important point because it characterize the entire graph setting the central point you need to have when plotting a parabola.

Given the equation in general form

The coordinates of the vertex are then given as:

Finally your graph will look like:

graph{x^2-14x+24 [-83.3, 83.3, -41.64, 41.64]}