Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Find the vertex, focus, and directrix of each parabola. Graph the equation by hand. Verify your graph using a graphing utility.
$y^{2} = 8 x$

The vertex is $(0, 0)$ focus is $(2, 0)$ and directrix is $x = - 2$ . The graph of the given equation is shown below .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information .

Consider the given equation $y^{2} = 8 x$ .

Step 2. Analyze the equation .

The standard form of parabola is $y^{2} = 4 a x$ .

Compare the equation with standard form.

$y^{2} = 4 a x y^{2} = 8 x 4 a = 8 a = 2$

Further simplify .

Since $a = 2$ the vertex is $(0, 0)$ ,the focus is $(a, 0) = (2, 0)$ and the directrix is $x = - a, x = - 2$

Step[ 3. Plot the graph .

The graph of the equation $y^{2} = 8 x$ using graphing utility is shown below .

Here V is the vertex , F is the focus and line $x = - 2$ represents the directrix of the parabola .

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Find the vertex, focus, and directrix of each parabola. Graph the equation by hand. Verify your graph using a graphing utility.
$y^{2} = 8 x$

Step by Step Solution

Step 1. Given information .

Step 2. Analyze the equation .

Step[ 3. Plot the graph .

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Find the vertex, focus, and directrix of each parabola. Graph the equation by hand. Verify your graph using a graphing utility.y2=8x

Step by Step Solution

Step 1. Given information .

Step 2. Analyze the equation .

Step[ 3. Plot the graph .

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Find the vertex, focus, and directrix of each parabola. Graph the equation by hand. Verify your graph using a graphing utility.
$y^{2} = 8 x$