Chapter 11: Q. 149E (page 1134)

In the following exercises, graph.
$\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given information

The equation is $\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$

Draw the graph.

Step 2. Calculation

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

So, $a^{2} = 16 \Rightarrow a = \pm 4$

So, the vertices on x- axis are $(4, 0), (- 4, 0)$ .

Now, $b^{2} = 25 \Rightarrow b = \pm 5$

The vertices on y- axis are $(0, 5), (0, - 5)$ .

So asymptote have the equations,

$y = \frac{5}{4} x$

$y = - \frac{5}{4} x$

Step 3. Draw the graph.

Draw the graph using asymptote.

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In the following exercises, graph.
$\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$

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.x216-y225=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

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In the following exercises, graph.
$\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$