Explore BrainMass

Explore BrainMass

    The equation for a hyperbola

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    How do you find an equation for a hyperbola. Need list of steps taken to find an equation for a hyperbola. Solve the following to reinforce my understanding:

    1) Vertices (+or-4, 0) and passing thru (8,3)
    2) Foci (0,+-9)Center, directrices y = +-4
    3) Center (1,-3), vertices (-4,3) and (2,3), foci (-6, 3) and (4,3)

    © BrainMass Inc. brainmass.com June 3, 2020, 11:51 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/equation-hyperbola-303073

    Solution Preview

    The equation for a hyperbola with semimajor axis parallel to the x-axis and semiminor axis parallel to the y-axis is given by

    or, for a center at the point instead of ,

    Unlike the ellipse, no points of the hyperbola actually lie on the semiminor axis, but rather the ratio ...

    Solution Summary

    The equation for a hyperbola is given. Vertices, foci and centers are determined.

    $2.19

    ADVERTISEMENT