Question: Consider the equation 9x 2 + 4y 2 - 36x - 24y - 36 = 0. (a) Classify the graph of the equation as a

Consider the equation 9x² + 4y² - 36x - 24y - 36 = 0.
(a) Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.
(b) Change the 4y²-term in the equation to -4y². Classify the graph of the new equation.
(c) Change the 9x²-term in the original equation to 4x². Classify the graph of the new equation.
(d) Describe one way you could change the original equation so that its graph is a parabola.

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