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# Completing the square for vertex form Features of quadratic

The vertex of the parabola is at (2, 1). We can also see that the parabola points upwards. We need a few more points, however. While we could make a table and start plugging in values of x, there is usually an easier way: find the intercepts of y and x (if they exist). Video: Parabolas in Standard, Intercept, and Vertex Form, by rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

The difficulty of graphing a quadratic function varies depending on the form you find it in. We'll start things off relatively easily. Y a ( x h )2 k, no, we're not lying to you; that is a quadratic function. Starting with the y -intercept, which occurs at x 0. F (0) (0 2) (0, 3) is a point on our parabola. Now go for the x -intercept(s which occurs when y 0, if it does so anywhere on this function.

You also know that the vertex of the parabola is at the point ( h, k ). Be careful with the sign of h, though. Sample Problem, graph the function y ( x 2)2 1. How Do You Graph a Quadratic Function? When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. See, you can trust us, it's totally quadratic. When you have a parabola written out in this form, you have several pieces of important information given to you at a glance. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!