1. For each of the following equations, state whether it is a parabola, ellipse, or hyperbola. Then state whether it is vertical or horizontal. (a) 9(x-2)² = 3(y - 5)² + 27. (b) 9(x-2)² = 27- 3(y - 5)². (c) 9(x-2)=-3(y - 5)² Answer: horizontal hyperbola Answer: vertical ellipse Answer: horizontal parabola

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. For each of the following equations, state whether it is a parabola, ellipse, or hyperbola. Then
state whether it is vertical or horizontal.
(a) 9(x-2)² = 3(y - 5)² + 27.
(b) 9(x-2)² = 27- 3(y - 5)².
(c) 9(x-2) = -3(y - 5)²
Answer: horizontal hyperbola
Answer: vertical ellipse
Answer: horizontal parabola
Transcribed Image Text:1. For each of the following equations, state whether it is a parabola, ellipse, or hyperbola. Then state whether it is vertical or horizontal. (a) 9(x-2)² = 3(y - 5)² + 27. (b) 9(x-2)² = 27- 3(y - 5)². (c) 9(x-2) = -3(y - 5)² Answer: horizontal hyperbola Answer: vertical ellipse Answer: horizontal parabola
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