# How do you graph a quadratic function?

##### 1 Answer

My favorite way is to complete the square in the equation for y, find the vertex and y-intercept, and draw the parabola.

Our goal is to make the equation

Example:

Say your equation is given as:

Notice that

so we need to make

So

We read the vertex at

This gives a parabola sitting on the vertex and curving upward, with axis of symmetry on the vertical line

By the way this example also has roots (x-intercepts) at

You're welcome, and happy graphing from