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Transformations of a Hyperbola - Problem 3

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Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Eventhough we are not explicitly asked to graph, it is useful to sketch the vertices and foci to determine the orientation of the hyperbola and visualize the center, which will be the midpoint. The distance from the center to a focus tells us "c", and from the center to a vertex tells us "a." Then we use the relationship a^2 + b^2 = c^2 to find b^2. Since the hyperbola axis is vertical, we know that the y^2 binomial will be first and over the a^2 term, and the x^2 binomial will be second and over the b^2 term. A hyperbola equation should always equal one.

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