Chapter 11: Q. 148E (page 1134)

In the following exercises, graph.
$\frac{x^{2}}{25} - \frac{y^{2}}{9} = 1$

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given information

The equation is $\frac{x^{2}}{25} - \frac{y^{2}}{9} = 1$

Draw the graph.

Step 2. Calculation

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

So, $a^{2} = 25 \Rightarrow a = \pm 5$

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

Now, localid="1645323346112" $b^{2} = 9 \Rightarrow b = \pm 3$

The vertices on y- axis are localid="1645323362654" $(0, 3), (0, - 3)$

So asymptote have the equations,

localid="1645323381754" $y = \frac{3}{5} x$

localid="1645323410074" $y = - \frac{3}{5} x$

Step 3. Draw the graph

Draw the graph using asymptote.

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In the following exercises, graph.
$\frac{x^{2}}{25} - \frac{y^{2}}{9} = 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw the graph

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In the following exercises, graph.x225-y29=1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercises, graph.
$\frac{x^{2}}{25} - \frac{y^{2}}{9} = 1$