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Type: Multiple-Choice
Category: Nonlinear Equations and Functions
Level: Grade 11
Standards: HSG-GPE.A.3
Author: nsharp1
Created: 6 years ago

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Nonlinear Equations and Functions Question

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For the hyperbola centered at the origin with foci F1=(-c,0) and F2=(c,0), derive the equation of the hyperbola.

Grade 11 Nonlinear Equations and Functions CCSS: HSG-GPE.A.3

After some more algebra, the equation becomes:
(c2-a2)x2-y2=(c2-a2)y2
What happened to the plus-minus sign that was in the original equation in the seventh question?
  1. Since there are no more square root terms, it is unnecessary.
  2. Each term with it was eventually squared, and a squared term must be positive it.
  3. Because the terms were moved from one side to another multiple times, it is no longer necessary.
  4. Any terms with it canceled out.