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: 11


Parabola opening down shifted 1 unit left and 2 units up

Work Step by Step

$(x+1)^2=4(-1)(y-2)$ The first aspect to notice is only the x term is squared. This means the conic must be a parabola opening up or down. Since the right side is multiplied by -1, the parabola must be opening down. The $(x+1)$ means that the vertex is shifted one unit left (across the x-axis). The $(y-2)$ means that the center is shifted two units up (the y-axis).
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