5051 Find an equation in xy-coordinates for the conic sectionthat satisfies the given

Chapter 10, Problem 51

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50–51 Find an equation in xy-coordinates for the conic section that satisfies the given conditions.

(a) Ellipse with center \((-3,2)\), vertex \((2, 2)\), and eccentricity \(e=\frac{4}{5}\) .

(b) Parabola with focus \((−2, −2)\) and vertex \((−2, 0)\).

(c) Hyperbola with vertex \((−1, 7)\) and asymptotes \(y-5=\pm 8(x+1)\).

Equation Transcription:

Text Transcription:

(-3, 2) (2,2) e=4/5

(-2,-2) (-2,0)

(-1, 7)

y - 5 = pm 8 (x+1)

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