How do you graph quadratics using the vertex form?
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
For example, consider the equation
Secondly, you need to find the direction of the graph. If your
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 :)