OBJECTIVE: Parabolas Students will graph and write equations of Parabolas. 16.0 Students demonstrate and explain how the geometry of the graph of a conic.

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Presentation transcript:

OBJECTIVE: Parabolas Students will graph and write equations of Parabolas Students demonstrate and explain how the geometry of the graph of a conic section (e.g., asymptotes, foci, eccentricity) depends on the coefficients of the quadratic equation representing it. STANDARD(S): 9.2 Saturday, December 19, 2015 Page #12

Parabolas Parabola – has the property that any point on it is equadistant from a point called the focus and a line called the directrix. Vertex Focus directrix

Focus Vertex x 2 =4py Characteristics of a Parabola The standard form of the equation of a parabola

Characteristics of a Parabola The standard and Focus form of the equation of a parabola Standard Form Focus Form

Characteristics of a Parabola The Inverse of a parabola Standard Form Focus Form