10.310.3 Hyperbolas. Quick Review Quick Review Solutions.

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Presentation transcript:

Hyperbolas

Quick Review

Quick Review Solutions

What you’ll learn about Geometry of a Hyperbola Translations of Hyperbolas Eccentricity and Orbits Reflective Property of a Hyperbola Long-Range Navigation … and why The hyperbola is the least known conic section, yet it is used astronomy, optics, and navigation.

Hyperbola A hyperbola is the set of all points in a plane whose distances from two fixed points in the plane have a constant difference. The fixed points are the foci of the hyperbola. The line through the foci is the focal axis. The point on the focal axis midway between the foci is the center. The points where the hyperbola intersects its focal axis are the vertices of the hyperbola.

Hyperbola

Hyperbola with Center (0,0)

Hyperbola Centered at (0,0)

Example Finding the Vertices and Foci of a Hyperbola

Example Finding an Equation of a Hyperbola

Hyperbola with Center (h,k)

Example Locating Key Points of a Hyperbola

Eccentricity of a Hyperbola