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)

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.

6950 is the

the equation is going to be