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: 8


Parabola shifted shifted 2 units left and 1 unit up.

Work Step by Step

This conic is a parabola opening to the right. Notice from the graph that the vertex of the parabola is shifted 2 left and 1 up. This can be verified from the equation. $(y-1)^2=4(2)(x+2)$ The $(x+2)$ means that the vertex is shifted two units left (across the x-axis). The $(y-1)$ means that the vertex is shifted up one unit (up the y-axis).
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