1. Trace the curve 4x² - y² + 8x + 8y - 112 = 0

2. Find the equation of each hyperbola with the given conditions and sketch the graph.

a. having center at the origin, transverse axis on the x-axis, distance between foci 2√97, latus rectum 32/9

b. center at (-4, 2), transverse axis parallel to the y-axis, eccentricity distance between directrices √61 5 50√61 61​