You can put this solution on YOUR website! Find the equation of a hyperbola with center at (0,0) and passing through points (-1,-2) and (3,4).
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Standard form of hyperbola with vertical transverse axis with center at origin:
use two given points to set up two equations to solve a and b.
..
4/a^2-1/b^2=1
16/a^2-9/b^2=1
..
16/a^2-4/b^2=4
16/a^2-9/b^2=1
subtract
5/b^2=3
b^2=5/3
..
4/a^2-3/5=1
4/a^2=8/5
a^2=20/8=5/2
..
Equation:
This is an equation of a hyperbola with vertical transverse axis.
note: I tried with a horizontal transverse axis at first but that did not come out right.
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