This worksheet is day 3 in my quadratics unit. After working with students on graphing quadratic equations by hand and finding the vertex, we move on to the solutions (x-intercepts) of a quadratic equation. Making sure students have a firm grasp on what a quadratic equation looks like when it is graphed, and what the solutions are, is key to long-term understanding of quadratic equations. It also leads into factoring quadratics and why we factor. By now students see how long it takes to graph a quadratic equation by hand, and I have told them that there is an easier, faster way of solving a quadratic equation that we will get to soon. First, though, they need to master how to solve by graphing.

I have included an answer sheet with this worksheet (please excuse the rough drawings of my parabolas....). I made sure to include a quadratic equation with only one solution and one with no solution so students will see what that looks like.