Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 10 - Parametric and Polar Curves - 10.4 Conic Sections - 10.4 Exercises - Page 750: 13

Answer

$${\text{Click to see the graph}}$$

Work Step by Step

$$\eqalign{ & {x^2} = 12y \cr & {\text{The equation is in the form }}{x^2} = 4py \cr & 12y = 4py \Rightarrow p = 3 \cr & p > 0 \cr & {\text{The parabola opens upward}} \cr & {\text{The focus of a parabola of the form }}{x^2} = 4py{\text{ is}} \cr & {\text{Focus }}\left( {0,p} \right) \Rightarrow {\text{Focus }}\left( {0,3} \right) \cr & {\text{The directrix of a parabola of the form }}{x^2} = 4py{\text{ is}} \cr & y = - p \Rightarrow y = - 3 \cr & \cr & {\text{Graph}} \cr} $$
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