1. Drawing Quadratic Curves – Part 2 Slideshow 28, Mathematics Mr. Richard Sasaki, Room 307

2. Objectives

3. Algebra Manipulation Example 1. Subtract both sides by 30. 4. Add and subtract 16 to produce a perfect square. 5. Expand the outer bracket and rewrite.

4. Algebra Manipulation Let’s do one more example! Example 1. Subtract both sides by 78. 4. Add and subtract 25 to produce a perfect square. 5. Expand the outer bracket and rewrite. The vertex is at.

5. Answers - Easy

6. Answers - Hard Minimum Maximum Minimum Minimum Maximum Minimum Minimum Maximum

7. Drawing Parabolae from Quadratics Example Vertex: We call this the parabola’s. axis of symmetry The line takes place at.

8. Answers (Easy) Answers (Medium) Answers (Hard)

9. Drawing Parabolae from Quadratics Let’s write the general form in vertex form. Please try!

10. Using the Formulae Example Answers:

11. Answers – EasyAnswers - Hard