1. © The Visual Classroom Introducing Quadratic Relations y = x 2 xy –3 –2 –1 0 1 2 3 9 4 1 0 1 4 9 OPENS UPWARD!!

2. © The Visual Classroom y = – x 2 xy –3 –2 –1 0 1 2 3 – 9 – 4 – 1 0 – 4 – 9 OPENS DOWNWARD!!

3. © The Visual Classroom The shape of the curve is called a parabola. vertex axis of symmetry

4. © The Visual Classroom The shape of the curve is called a parabola. y value is a minimum y value is a maximum

5. © The Visual Classroom The shape of the curve is called a parabola. x-intercepts y-intercept opens up

6. © The Visual Classroom Parabolas Are Everywhere The Pierre Laporte Bridge in Quebec City has a center span which is in the shape of a parabola.

7. © The Visual Classroom The bridge to the Island of Orléans, QC.

8. © The Visual Classroom Many other types of bridges are in the shape of parabolas. Three Rivers Bridge, QC Rideau River, Ottawa

9. © The Visual Classroom Examples of Parabolas a bouncing ball

10. © The Visual Classroom Parabolic shapes will reflect rays to one focal point.

11. © The Visual Classroom Any object thrown from a high place will fall in a parabolic curve.

12. © The Visual Classroom The Flight of a Golf Ball is a Parabolic Curve.

13. © The Visual Classroom the cross sections of satellite dishes. Parabolic curves are found on

14. © The Visual Classroom Parabolic shapes will reflect rays to one focal point.

15. © The Visual Classroom Many arches are in the shape of parabolas

16. © The Visual Classroom Even power lines take the shape of parabolas

17. © The Visual Classroom In Business Price increases can mean more revenue, but only up to a point. Price increase Revenue