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