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    Ellipses and Hyperbolas

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    #1. find the center,foci and vertices of ellipse.
    (x+4)^2/49 + (Y+4)^2/25 =1

    #2. Find the center, transverse,axis,vertices,foci and asymptotes.
    Graph the equation y^2-x^2=100

    #3. find the equation of hyperbola.
    Vertices (-1,5) and (9,-5) Asymptote the line y+5=6/5 (x-4)
    write the equation of hyperbola and show the graph.

    I need the step by step solution of each question and the graph also. Thanks.

    © BrainMass Inc. brainmass.com December 15, 2022, 6:52 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/equation-hyperbola-ellipse-178837

    Solution Preview

    Please see the attached files.

    #1. Find the center, foci and vertices of ellipse.
    (x + 4)2/49 + (y + 4)2/25 =1
    This ellipse can be compared to the standard form: ,
    Wherein the centre is (h, k) = (-4, -4),
    Semi-major axis a = 7, semi-minor axis b = 5
    The vertices are: (-4 + 7, -4), (-4 - 7, -4), (-4, -4 + 5), ...

    Solution Summary

    This shows how to graph equations and find information about hyperbolas and ellipses.

    $2.49

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