Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.4 - Translations of Conics - 4.4 Exercises - Page 347: 29


Vertex: $(h, k)=(5,\dfrac{-1}{2})$ Directrix: $x=\dfrac{9}{2}$ Focus: $(\dfrac{11}{2},\dfrac{-1}{2})$

Work Step by Step

We need to write the standard form of a parabola with a horizontal axis as follows: $(y+\dfrac{1}{2})^2=4(\dfrac{1}{2})(x-5)$ Now, Vertex: $(h, k)=(5,\dfrac{-1}{2})$ Directrix: $x=h-p=\dfrac{9}{2}$ Focus: $(h+p,k)=(\dfrac{11}{2},\dfrac{-1}{2})$
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