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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. 150E (page 1134)

In the following exercises, graph.
$\frac{x^{2}}{9} - \frac{y^{2}}{36} = 1$

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information

The equation is $\frac{x^{2}}{9} - \frac{y^{2}}{36} = 1$

Draw the graph.

02

Step 2. Calculation

The $x^{2} -$ term is positive, the transverse axis is horizontal.

So, $a^{2} = 9 鈬� a = 卤 3$

So, the vertices on x- axis are $(3, 0), (- 3, 0)$

Now, $b^{2} = 36 鈬� b = 卤 6$

The vertices on y- axis are $(0, 6), (0, - 6)$ .

So asymptote have the equations,

$y = \frac{6}{3} x = 2 x$

$y = - \frac{6}{3} x = - 2 x$

03

Step 3. Draw the graph

Draw the graph using asymptote.

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