Hi,
is
a. Give the coordinates of the center of the hyperbola. Yes! C(1,-1)
b. Give the length of the transverse axisand conjugate axes.
c. Give the slopes of the asymptotes. ±3/4
-1 = 3/4(1)+b, b = -7/4, y = (3/4)x-7/4 OR y = (-3/4)x-1/4
d. Give the coordinates of the foci.(1,4)&(1,-6)
e. Graph the hyperbola. Label the center, midpoints of the associated rectangle, and foci.