SOLUTION: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±10, 0); asymptotes: y = ±4/3x

Question 1176576: Find the standard form of the equation of the hyperbola with the given characteristics.
Foci: (±10, 0); asymptotes: y = ±4/3x

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

There are two standard forms:
1.
2. = ±
Therefore, the equation, = ± tell us that h=0 and k=0
The center is the point (,).
Foci is given to be, (±, ), tells us that the hyperbola is the horizontal transverse type with the equation in item 1

The distance to the focus is linear eccentricity .
The point (10, 0) shows us the value of :

= ± shows us that
->

then

and your equation in standard form is:

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