Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

True or False The y-coordinate of the vertex of $f (x) = - x^{2} + 4 x + 5$ is $f (2)$ .

The given statement is true.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given statement is:

The y-coordinate of the vertex of $f (x) = - x^{2} + 4 x + 5$ is $f (2)$ .

Step 2. Determine whether the given statement is true or false.

The vertex of $f (x) = a x^{2} + b x + c$ is $(- \frac{b}{2 a}, f (- \frac{b}{2 a}))$ .

In the given function $f (x) = - x^{2} + 4 x + 5, a = - 1, b = 4, c = 5$ .

$\begin{array}{rcl} - \frac{b}{2 a} & = & - \frac{4}{2 (- 1)} \\ = & - \frac{4}{- 2} \\ = & 2 \end{array}$

The y-coordinate of the vertex of the given function is role="math" localid="1645862681108" $f (2)$ .

Step 3. Conclusion.

The given statement is true.

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Precalculus Enhanced with Graphing Utilities

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Short Answer

True or False The y-coordinate of the vertex of $f (x) = - x^{2} + 4 x + 5$ is $f (2)$ .

Step by Step Solution

Step 1. Given information.

Step 2. Determine whether the given statement is true or false.

Step 3. Conclusion.

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Precalculus Enhanced with Graphing Utilities

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Short Answer

True or False The y-coordinate of the vertex of f(x)=-x2+4x+5 is f(2).

Step by Step Solution

Step 1. Given information.

Step 2. Determine whether the given statement is true or false.

Step 3. Conclusion.

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True or False The y-coordinate of the vertex of $f (x) = - x^{2} + 4 x + 5$ is $f (2)$ .