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    Hyperbola graphs to determine foci and vertices

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    I need to graph the following hyperbola and it has been several years since I have done this. Can you give me a step by step method of how to do this?

    x^2 = 8(y-1)^2+1

    I do not remember how to determine the foci or the vertices. Please assume that I know nothing other than the given equation. Once I know the method I will be able to use it on other problems.

    © BrainMass Inc. brainmass.com March 4, 2021, 11:08 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/hyperbola-graphs-determine-foci-vertices-397345

    Solution Preview

    Please see attached document for the solution to the given problem.

    Solution: First, rearrange the equation in the form:

    Or:

    Where:
    (h,k) = coordinates of the center
    a = length of major axis (the longer measurement). It is also the distance from the center to the vertices.
    b = length of minor axis (the shorter ...

    Solution Summary

    This posting contains the solution to the given problems. Hyperbola graphs to determine foci and vertices are examined.

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