Conics

1. Conics Lesson 1: .Parabolas Mrs. Parziale

2. Parabolas • Two ways to write • Vertex form • Standard form

3. Parabolas • Vertex form • Vertex is (h, k) • Axis of Symmetry is x = h. • If a is positive – opens up. • If a is negative – opens down.

4. Parabolas • Standard form • Vertex is • Axis of Symmetry is . • If a is positive – opens up. • If a is negative – opens down.

5. Example 1 • Sketch the following: Label the axis of symmetry and the vertex.

6. Example 1, cont. • Sketch the following: Label the axis of symmetry and the vertex.

7. Example 1, cont. • Sketch the following: Label the axis of symmetry and the vertex.

8. Example 1 • Sketch the following: Label the axis of symmetry and the vertex.

9. Example 2: Give the equation in the form • Vertex = (4, -2) • Passes through the point (6, 4)

10. Example 2: Give the equation in the form • Vertex = (-3, 4) • Passes through the point (0, -14)

11. Closure • Given the equation for the parabola: • What is the vertex? • What is the axis of symmetry? • How does it open?