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Transformations of a Hyperbola  Problem 3
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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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
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Transformations of a Hyperbola
Problem 1 5,729 viewsGraph the equation for a hyperbola with vertices (0,1),(4,1) and foci at (1,1),(5,1).

Transformations of a Hyperbola
Problem 2 5,822 viewsGiven 4x² − 9y² − 8x − 54y − 113 = 0.
Find the center, vertices, covertices, and focus. 
Transformations of a Hyperbola
Problem 3 1,399 views 
Transformations of a Hyperbola
Problem 4 1,403 views 
Transformations of a Hyperbola
Problem 5 1,864 views
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