This document provides instructions for completing the square of quadratic expressions and checking the answers using WolframAlpha. It includes examples of completing the square and encourages generating additional examples to check on WolframAlpha while also examining graphs to understand how the completed square form relates to the minimum of a quadratic function.

1. Completing the Square
Examples

7. Complete the square for...

8. Check answer on WolframAlpha...

9. Complete the square for...

10. Check answer on WolframAlpha...

11. Complete the square for...

12. Check answer on WolframAlpha...

13. Complete the square for...

14. Check answer on WolframAlpha...

15. Complete the square for...

16. Check answer on WolframAlpha...

17. Now make up some examples
yourself
......and check your answers
on WolframAlpha
.....and look at some graphs
to relate the completed
square form to the minimum
value of the function ....