# How do you graph quadratics using the vertex form?

##### 1 Answer

When you graph a quadratic, there are a couple of things you need to consider that will make your life easier.

Firstly, you need to find the **vertex** . This is derived through (wait for it) vertex form. In the equation **highest** or **lowest** point on your graph, and it is the first thing you need to graph.

For example, consider the equation

Here

Secondly, you need to find the **direction** of the graph. If your **negative** , then the equation opens **downwards**. If it is **positive,** then it opens **upwards**. This will help you get a good picture of what your graph will look like.

Considering our sample equation,

Thirdly, you need to find the **intercepts** of the graph. If you plug in 0 for

Now let's find the zeroes of our sample equation:

Hence our intercepts would be the points

Lastly, you just need to draw a curve through all these three points, and you are done! This is what it would look like:

If you are required to find more coordinates, the easiest way to get them is to just plug the equation into your calculator, and get more points. If you need to do this by hand, then you'd just plug in more

Hope that helped :)