Explanation Given: If the graph of f ( x ) = a x 2 + b x + c , a ≠ 0 has a maximum value at its vertex. Result used: The graph of a quadratic function f ( x ) = a x 2 + b x + c , a ≠ 0 is parabola with vertex at ( − b 2 a , f ( − b 2 a ) ) . The vertex is highest point on the graph if a < 0 and lowest point on the graph if a > 0 ... To determine b. To conclude: Whether the condition − b 2 a < 0 true or false. To determine c. To conclude: Whether the condition a > 0 is true or false. To determine d. To conclude: Whether the condition a < 0 is true or false.

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)

7th Edition

ISBN: 9780134111315

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Question

Chapter 4.3, Problem 12AYU

To determine

a.

To conclude: Whether the condition $- \frac{b}{2 a} > 0$ is true or false.

To determine

b.

To conclude: Whether the condition $- \frac{b}{2 a} < 0$ true or false.

To determine

c.

To conclude: Whether the condition $a > 0$ is true or false.

To determine

d.

To conclude: Whether the condition $a < 0$ is true or false.

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Chapter 4.3, Problem 11AYU

Chapter 4.3, Problem 13AYU

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Chapter 4 Solutions

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)

Ch. 4.1 - Answers are given at the end of these exercises....Ch. 4.1 - Prob. 2AYU Ch. 4.1 - Prob. 3AYU Ch. 4.1 - Prob. 4AYU Ch. 4.1 - Prob. 5AYU Ch. 4.1 - Prob. 6AYU Ch. 4.1 - Prob. 7AYU Ch. 4.1 - Prob. 8AYU Ch. 4.1 - 9. True or False The slope of a nonvertical line...Ch. 4.1 - Prob. 10AYU

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