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 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 solve a quadratic equation that's in vertex form, it may be easier to first convert the equation to standard form. This tutorial shows you how to convert from vertex form to standard form!
Graphing a quadratic equation in intercept form is a breeze! All the information you need is in the equation. You just need to pick it out and use it. Follow along with this tutorial to see how to take an equation intercept form and use it to find the x-intercepts, vertex, and axis of symmetry.
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.
If you have a quadratic equation in intercept form, you can quickly change it to standard form with a bit of multiplication! Check out this tutorial to see the process step-by-step.