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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. 151E (page 1134)

In the following exercises, graph.
$\frac{y^{2}}{25} - \frac{x^{2}}{4} = 1$

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information

The equation is $\frac{y^{2}}{25} - \frac{x^{2}}{4} = 1$

Draw the graph.

02

Step 2. Calculation

The $y^{2} -$ term is positive, the transverse axis is vertical.

$a^{2} = 25 鈬� a = 卤 5$

So, the vertices on y- axis are $(0, 5), (0, - 5)$

Now, $b^{2} = 4 鈬� b = 卤 2$

The vertices on x- axis are $(2, 0), (- 2, 0)$

So asymptote have the equations,

$y = \frac{5}{2} x$

$y = - \frac{5}{2} x$

03

Step 3. Draw the graph

Draw the graph using asymptotes,

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