For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola. b.Graph the curve c. Identify key features of the graph. That is, • If the equation represents a circle, identify the center and radius. • If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. • If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. • If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry. −9x2 + 16y2 + 64y − 512 = 0
For Exercise,
a. Identify the equation as representing a
b.Graph the curve
c. Identify key features of the graph. That is,
• If the equation represents a circle, identify the center and radius.
• If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity.
• If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity.
• If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry.
−9x2 + 16y2 + 64y − 512 = 0
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