Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 10 - Analytic Geometry - 10.3 The Ellipse - 10.3 Assess Your Understanding - Page 656: 11


$(6,-3)$ and $(-2,-3)$

Work Step by Step

If the major axis is parallel to the x-axis, then the y-coordinates of the foci will be the same as the y-coordinate of the centre. We can get the two foci's x-coordiantes by adding and substracting the given $a$-value from the centre's x-coordinate. Hence the $2$ foci: $(2+a,-3)=(2+4,-3)=(6,-3)$ and $(2-a,-3)=(2-4,-3)=(-2,-3)$
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