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Transformations of a Hyperbola - Problem 4

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

Even if you are not explicitly asked to graph a hyperbola, it's always a good idea to draw a rough sketch to determine whether your major axis will be vertical or horizontal and we can find the center. Here, we plot the foci and vertices to find a horizontal axis, and also find the values of "a" and "c." From there, we can use the relation a^2 + b^2 = c^2 to solve for b^2. Since the major axis is horizontal, the x^2 binomial will be above the a^2, and the y^2 binomial will be above b^2.

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