A. Reduce each equation to a standard form and describe the curve completely. If the curve is a: CIRCLE- supply the center and radius PARABOLA- supply the direction of the opening, vertex, focus, ends of latus rectum ELLIPSE- supply the center and direction of major axis, vertices, foci, ends of latera recta, directrices HYPERBOLA- supply the center and direction of transverse axis, vertices, foci, ends of latera recta, directrices, and asymptotes. B. Graph each equation. 1. 2y2 + x + 8y – 4 = 0

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
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A. ANALYTIC GEOMETRY COMPLETE SOLUTIONS
A. Reduce each equation to a standard form and describe the curve completely.
If the curve is a:
CIRCLE- supply the center and radius
PARABOLA- supply the direction of the opening, vertex, focus, ends of latus
rectum
ELLIPSE- supply the center and direction of major axis, vertices, foci, ends of
latera recta, directrices
HYPERBOLA- supply the center and direction of transverse axis, vertices, foci,
ends of latera recta, directrices, and asymptotes.
B. Graph each equation.
1. 2y2 + x + 8y – 4 = 0
2. x2 + y² + 6x + 8y = -9
3. 3x? – 2y2 – 12x + 12y = 12
4. x2 + 2y2 + 2x – 8y = -5
Transcribed Image Text:A. Reduce each equation to a standard form and describe the curve completely. If the curve is a: CIRCLE- supply the center and radius PARABOLA- supply the direction of the opening, vertex, focus, ends of latus rectum ELLIPSE- supply the center and direction of major axis, vertices, foci, ends of latera recta, directrices HYPERBOLA- supply the center and direction of transverse axis, vertices, foci, ends of latera recta, directrices, and asymptotes. B. Graph each equation. 1. 2y2 + x + 8y – 4 = 0 2. x2 + y² + 6x + 8y = -9 3. 3x? – 2y2 – 12x + 12y = 12 4. x2 + 2y2 + 2x – 8y = -5
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