MATH 153E

QUIZ 8

数学线上代考 Find the vertex, focus, and directrix of the parabola and sketch its graph. 𝑦² + 6𝑦 + 2𝑥 + 1 = 0

Quiz 8 (Total 15p.) Show your work!  数学线上代考

  1. (1p.) Find the vertex, focus, and directrix of the parabola and sketch its graph.

𝑦² + 6𝑦 + 2𝑥 + 1 = 0

  1. (1p.) Find the vertices and foci of the ellipse and sketch

9𝑥² − 18𝑥 + 4𝑦² = 27

  1. (1p.) Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph.

x² – y² + 2y = 2

  1. (3p.) Find an equation for the conic that satisfies the given conditions.

a) Parabola, focus (2, -1), vertex (2, 3).

b) Ellipse, foci (0, 2), (0, 6), vertices (0, 0), (0, 8).

数学线上代考
数学线上代考

5.(3p.) Write a polar equation of a conic with the focus at the origin and the given data.

a) Parabola, directrix x = – 3;

b) Hyperbola, eccentricity 1.5, directrix y = 2;

c) Ellipse, eccentricity 0.6, directrix r = 4 cscϴ.

6.(6p.) (a) Find the eccentricity, (b) identify the conic, (c) give an equation of the directrix, and (d) sketch the conic.

数学线上代考
数学线上代考

 
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