Question

Find the equation in standard form for the hyperbola that satisfies the given conditions: transverse axis has endpoints (5,3) and (-7, 3) and conjugate axis has a length of 10.

I found the distance of the transverse axis to be 12. For the formula, I have a=6 b=5. I just need help finding h and k.

Thanks!

Answer 1

(h,k) is the center. The center is the midway point between the two vertices: (5,3) and (-7,3). Using the midpoint formula, ((5-7)/2,(3-3)/2), you get h=-1 and k=0. hope this helps you Katelyn.