Dealing with graphs of quadratic equations? You should know about the parent function graph first! All graphs of quadratic equations start off looking like this before their transformed. Check it out!
You can't go through algebra without seeing quadratic functions. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. In this tutorial, get introduced to quadratic functions, look at their graphs, and see some examples of quadratic functions!
You can write the vertex form for a quadratic equation if you have the vertex and one other point! This tutorial shows you how to take that information and write an equation for the quadratic in vertex form.
If you want to write the equation of a quadratic in intercept form just from its graph, you can use the x-intercepts and one additional point on the graph. Those three points will tell you all you need. Follow along with this tutorial to see how to use the graph of a quadratic to write its equation in intercepts form.