Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Graph each function.
$f (x) = - \sqrt{64 - 16 x^{2}}$

The graph of the function is half an ellipse.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

WE have given function is $y = - \sqrt{64 - 16 x^{2}}$ .

Now, find an equation of conic, we have

$y^{2} = 64 - 16 x^{2} y^{2} + 16 x^{2} = 64 \frac{y^{2}}{64} + \frac{x^{2}}{4} = 1 \frac{x^{2}}{2^{2}} + \frac{y^{2}}{8^{2}} = 1$

Step 2. Graph of the function.

We have $b = 2, a = 8$ in $b^{2} = a^{2} - c^{2}$

$c^{2} = 8^{2} - 2^{2} c^{2} = 60 c = \sqrt{60} c = 2 \sqrt{15}$

The foci are at $(0, \pm 2 \sqrt{15})$ .

The vertices of the major axis of the ellipse are at $(0, 8)$ and $(0, - 8)$ .

The vertices of the minor axis of the ellipse are at $(2, 0)$ and $(- 2, 0)$ .

The graph of the function is

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Graph each function.
$f (x) = - \sqrt{64 - 16 x^{2}}$

Step by Step Solution

Step 1. Given information.

Step 2. Graph of the function.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Graph each function. f(x)=-64-16x2

Step by Step Solution

Step 1. Given information.

Step 2. Graph of the function.

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Graph each function.
$f (x) = - \sqrt{64 - 16 x^{2}}$