Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = - {(x - 4)}^{2}$

The required graph is

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given quadratic function is $f (x) = - {(x - 4)}^{2}$

Step 2. Determine the horizontal and vertical shift.

Compare the function with $f (x) = {(x - h)}^{2} + k$ and $h and k$ .

localid="1646225245025" $f (x) = - {(x - 4)}^{2} f (x) = a {(x - h)}^{2} + k S o, h = 4 k = 0 a = - 1$

Step 3. plot the graph of the parent function.

Plot the graph of $f (x) = x^{2}$ .

Step 4. Reflect the graph about x-axis.

Reflect the graph of $f (x) = x^{2}$ about x-axis to plot $f (x) = - x^{2}$ .

Step 5. Horizontal shift of the graph.

Shift the graph of $f (x) = - x^{2}$ to 4 units right to plot $f (x) = - {(x - 4)}^{2}$ .

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = - {(x - 4)}^{2}$

Step by Step Solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Step 3. plot the graph of the parent function.

Step 4. Reflect the graph about x-axis.

Step 5. Horizontal shift of the graph.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).fx=-x-42

Step by Step Solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Step 3. plot the graph of the parent function.

Step 4. Reflect the graph about x-axis.

Step 5. Horizontal shift of the graph.

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In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = - {(x - 4)}^{2}$