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9.3: Hyperbolas

9.3: Hyperbolas. TSW understand the definition and geometry of hyperbolas, use the equation of a hyperbola to find relevant constants, and graph a hyperbola given its equation at an 85% mastery level as demonstrated by discussion and practice. Geometric Definition.

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9.3: Hyperbolas

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  1. 9.3: Hyperbolas TSW understand the definition and geometry of hyperbolas, use the equation of a hyperbola to find relevant constants, and graph a hyperbola given its equation at an 85% mastery level as demonstrated by discussion and practice.

  2. Geometric Definition Set of points in the plane is the difference of whose distances from two fixed foci is a constant. Picture from: http://people.richland.edu/james/lecture/m116/conics/hyperbola.gif

  3. Hyperbola with Center at Origin

  4. How to Sketch a Hyperbola • Sketch the central box. Plot a, –a, b, and –b on the appropriate axes and use to draw box. • Sketch the asymptotes. Diagonals of the central box. • Sketch the hyperbola. Start at a vertex (a or –a) and sketch a branch approaching the asymptotes.

  5. Examples

  6. Examples

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