Section 10.2 Ellipses Objectives: To understand the geometric definition of ellipses. Use the equation to find relavant information. To find the equation.

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Presentation transcript:

Section 10.2 Ellipses Objectives: To understand the geometric definition of ellipses. Use the equation to find relavant information. To find the equation of an ellipse given the foci and vertices.

Ellipse with Center at the Origin In the standard equation for an ellipse, a 2 is the larger denominator and b 2 is the smaller. Equation: Vertices: Co-vertices: Foci:

Ellipse with Center at the Origin In the standard equation for an ellipse, a 2 is the larger denominator and b 2 is the smaller. Equation: Vertices: Co-vertices: Foci:

Ex 1. Find the center, vertices, co-vertices and foci for the ellipse.

Ex 2. Find the center, vertices, co-vertices and foci.

Class Work 1.Find the center, vertices, co-vertices and foci. 2.Find the center, vertices, co-vertices and foci.

Ex 3. Find the center, vertices, co-vertices, and foci. 16x 2 + 9y 2 = 144

Class Work 3.Find the center, vertices, co-vertices, and foci.

HW #3 Ellipse Worksheet odds Evens Extra Credit

Section 10.3 Hyperbolas

Equation: Vertices: Co-vertices: Foci: Asymptotes: Hyperbola with Center as Origin

Equation: Vertices: Co-vertices: Foci: Asymptotes: Hyperbola with Center as Origin

Ex 4. Find the center, vertices, co-vertices, foci, and asymptotes. 9x 2 – 16y 2 = 144

Ex 5. Find the center, vertices, co-vertices, foci, and asymptotes.

Class Work Find the center, vertices, co-vertices, foci, and asymptotes. 4. 4x 2 – 64y 2 =

HW #4 Hyperbola Wkst odds, Evens Extra Credit