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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q.138 (page 1119)

In the following exercise, graph the equation $\frac{{(x - 2)}^{2}}{9} + \frac{{(y + 3)}^{2}}{25} = 1$

Short Answer

Expert verified

The required equation of a curve and graph is as follows

Step by step solution

01

Step 1, Given the information

The given equation of the curve $\frac{{(x - 2)}^{2}}{9} + \frac{{(y + 3)}^{2}}{25} = 1$

02

Step 2. Draw a graph

The standard equation of the ellipse is $\frac{{(x - 2)}^{2}}{9} + \frac{{(y + 3)}^{2}}{25} = 1$

Since, $9 < 25$ the major axis be vertical

Therefore, $b^{2} = 9 b = 卤 3$ and $a^{2} = 25 a = 卤 5$

center of the ellipse is $(2, - 3)$

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