In this interactive document, students explore transformations of quadratic equations, both graphically and algebraically. In the first activity, they use completing the square to transform random quadratics into their vertex form. In the second activity, they must transform one given quadratic graph to match another. This activity is written using Lua scripting.
Before the Activity
Students should have some experience of the method of completing the square for solving quadratic equations. Some work on solving by factoring may also be suitable.
During the Activity
It is recommended that the teacher first demonstrate the steps involved in working through each part of the activity, and then allow students to continue at their own pace for as long as desired, either individually or in small groups.
After the Activity
Students should continue with further work on solving quadratics and explore applications, such as quadratic inequalities.