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Transformations of a Hyperbola  Problem 5
FREEAlissa 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
If an equation is given in general form, you'll know it represents a hyperbola if both the x and y terms are squared and are being subtracted. To get from general to standard form, rearrange the equation so the x terms are together and the y terms are together, and then complete the square on each one. You should be adding two terms to both sides of the equation to keep the equation balanced. From there, you'll need to make the equation equal to one, so you'll need to divide all terms by whatever you have on the right side of the equation. Once the equation is in standard form, you can identify which direction is the axis of symmetry and find "a" and "b" to graph your asymptotes and hyperbola.
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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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Sample Problems (5)
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Transformations of a Hyperbola
Problem 1 5,389 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 5,270 viewsGiven 4x² − 9y² − 8x − 54y − 113 = 0.
Find the center, vertices, covertices, and focus. 
Transformations of a Hyperbola
Problem 3 1,171 views 
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Problem 4 1,145 views 
Transformations of a Hyperbola
Problem 5 1,259 views
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