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: 28

Answer

Vertex: $(-2, 4)$ Directrix: $x=-\dfrac{7}{4}$ Focus: $(\dfrac{-9}{4},4)$
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Work Step by Step

We need to write the Standard form of a parabola: $(y-4)^2=4(\dfrac{-1}{4})(x+2)$ $h=-2$ and $k=4$ Vertex: $(-2, 4)$ Directrix: $x=h-p=-\dfrac{7}{4}$ Focus: $(h+p,k)=(\dfrac{-9}{4},4)$
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