Part 5: Identify key features and graph a hyperbola from general form. Answer the following questions to determine the key features of the hyperbola based on the equation

shown, and then graph it.

4x^2 + 8x – 9y^2 – 36y – 68 = 0

a) Write the standard equation of the hyperbola. (3 points)
b) What is the center of the hyperbola? (1 point)
c) What are the foci of the hyperbola? (2 points)
d) What are the asymptotes of the hyperbola? (2 points)
e) Sketch a graph of the hyperbola and label the center, foci, guiding box, and asymptotes. (4 points)