SOLUTION: Write the equation of a hyperbola centered on the origin with a co-vertex at (0, -8) and a focus at (17, 0).

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Question 869121: Write the equation of a hyperbola centered on the origin with a co-vertex at (0, -8) and a focus at (17, 0).
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Begin to sketch these points to get a sense of the graph. The covertex given means that, from center of (0,0), value for b=8. The main vertices are on the x-axis. The given focus tells you, c=17. The other focus is (-17,0).

a, b, and c are related as a%5E2%2Bb%5E2=c%5E2, so a%5E2=c%5E2-b%5E2. Substituting the values, a%5E2=17%5E2-8%5E2=225.

The hyperbola equation is highlight%28x%5E2%2F225-y%5E2%2F64=1%29.