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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Solutions

Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

1 9 - 2 6 Intersection Points Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there?

Graph the circle y 2 9 x 2 = 1 by solving for y and graphing two equations corresponding to the positive and negative square roots. (This graph is called a hyperbola.)

To determine

The graph of the equation of hyperbola y29x2=1 by solving for y and graphing two equations corresponding for the positive and the negative square roots.

Explanation

Given:

The given equations of hyperbola is,

y29x2=1

Approach:

The graph of the equation using graphing calculator in the given rectangular view is construct on the basis of the following steps:

Step 1: Press the key Y= on the graphing calculator and write the given equation, Y= screen in the graphing calculator is as shown below,

Figure (1)

Step 2: Press the key WINDOW on the graphing calculator and write the given rectangular view, WINDOW screen in the graphing calculator is as shown below,

Figure (2)

Step 3: Press the key GRAPH on the graphing calculator and view the graph obtained, GRAPH screen in the graphing calculator is as shown below,

Figure (3)

Calculation:

Write the given equations in the graphing calculator,

y29x2=1

Solve the above equation for y.

y2=1+9x2y=±1+9x2

Thus, the hyperbola is described by the two equations, that is,

y=1+9x2

And

y=1+9x2

Graph the first equation, whose equation is,

y=1+9x2

Consider the viewing rectangle as [5,5] by [5,5]

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