Hyperbola.

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Presentation transcript:

Hyperbola

Definition of a hyperbola difference between distances to each foci is constant

Hyperbola

Formula

Equations of the asymptotes

Rectangular hyperbola

Sketch the graphs

Parametric equations of the hyperbola

Find the tangent to the curve at

A ray of light emanating from one focus of a hyperbola will be reflected back along the line from the opposite focus.

Light reflection properties of hyperbolas are used to advantage in the design of high-quality telescopes

A line tangent to a hyperbola at a point P makes equal angles with the lines through P and the foci

Homework Exercise 13.7 Delta exercise 14.2, Numbers 4, 7