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Conics. Lesson 1: .Parabolas Mrs. Parziale. Parabolas. Two ways to write Vertex form Standard form. 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. Parabolas. Standard form Vertex is
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Conics Lesson 1: .Parabolas Mrs. Parziale
Parabolas • Two ways to write • Vertex form • Standard form
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.
Parabolas • Standard form • Vertex is • Axis of Symmetry is . • If a is positive – opens up. • If a is negative – opens down.
Example 1 • Sketch the following: Label the axis of symmetry and the vertex.
Example 1, cont. • Sketch the following: Label the axis of symmetry and the vertex.
Example 1, cont. • Sketch the following: Label the axis of symmetry and the vertex.
Example 1 • Sketch the following: Label the axis of symmetry and the vertex.
Example 2: Give the equation in the form • Vertex = (4, -2) • Passes through the point (6, 4)
Example 2: Give the equation in the form • Vertex = (-3, 4) • Passes through the point (0, -14)
Closure • Given the equation for the parabola: • What is the vertex? • What is the axis of symmetry? • How does it open?