Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 11 - Section 11.1 - Parabolas - 11.1 Exercises - Page 789: 35

Answer

$ y=-\dfrac {x^{2}}{3}$

Work Step by Step

If focus of parabola is $F(p,0)$ this parabola has a horizontal axis If focus of parabola is $F(0,p)$ this parabola has a vertical axis In this case parabola has vertical axis $\Rightarrow x^{2}=4py=4\times \left( \dfrac {-3}{4}\right) \times y=-3y$ $\Rightarrow y=-\dfrac {x^{2}}{3}$
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