Question 482118: write the equation of the hyperbola with center (0,0), focus (-5,0), and vertex (-2,0).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write the equation of the hyperbola with center (0,0), focus (-5,0), and vertex (-2,0)
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Given data shows this is an equation of a hyperbola with horizontal transverse axis of the standard form: (x-h)^2/a^2-(y-k)^2/b^2=1 , with (h,k) being the (x,y) coordinates of the center.
For given equation:
a=distance from center to one of the vertices on the horizontal transverse axis=2
a^2=4
..
c=distance from center to one of the foci on the horizontal transverse axis=5
c^2=a^2+b^2
b^2=c^2-a^2=25-4=21
..
Equation: x^2/4-y^2/21=1
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