Q. 9 Answer Problems 9鈥�11 using the... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 10: Q. 9 (page 667)

Answer Problems 9鈥�11 using the figure.
The equation of the hyperbola is of the form
(a) $\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
(b) $\frac{{(y - h)}^{2}}{a^{2}} - \frac{{(x - k)}^{2}}{b^{2}} = 1$

Short Answer

Expert verified

The equation of the hyperbola is of the form $\frac{{(y - h)}^{2}}{a^{2}} - \frac{{(x - k)}^{2}}{b^{2}} = 1$ since the graph of the hyperbola opens up and down.

Step by step solution

Step 1. Given Information

The graph of the hyperbola is:

We need to find if the hyperbola is of the form $\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$ or $\frac{{(y - h)}^{2}}{a^{2}} - \frac{{(x - k)}^{2}}{b^{2}} = 1$

Step 2. Concept

If the equation of the hyperbola is of the form $\frac{{(y - k)}^{2}}{a^{2}} - \frac{{(x - h)}^{2}}{b^{2}} = 1$ , then the graph of the hyperbola opens up and down.

If the equation of the hyperbola is of the form $\frac{{(x - h)}^{2}}{a^{2}} + \frac{{(y - k)}^{2}}{b^{2}} = 1$ then the graph of the hyperbola opens towards the left and right.

Step 3. Explanation

Since the graph of the hyperbola opens up and down, the equation of the hyperbola is of the form $\frac{{(y - h)}^{2}}{a^{2}} - \frac{{(x - k)}^{2}}{b^{2}} = 1$ .

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91影视

Answer Problems 9鈥�11 using the figure.
The equation of the hyperbola is of the form
(a) $\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
(b) $\frac{{(y - h)}^{2}}{a^{2}} - \frac{{(x - k)}^{2}}{b^{2}} = 1$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept

Step 3. Explanation

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91影视

Answer Problems 9鈥�11 using the figure.The equation of the hyperbola is of the form(a) (x-h)2a2-(y-k)2b2=1(b)(y-h)2a2-(x-k)2b2=1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept

Step 3. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Geometry

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Answer Problems 9鈥�11 using the figure.
The equation of the hyperbola is of the form
(a) $\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
(b) $\frac{{(y - h)}^{2}}{a^{2}} - \frac{{(x - k)}^{2}}{b^{2}} = 1$