PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
10th Edition
ISBN: 9780136174318
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter P.6, Problem 52E
Solution
The nature of graph of a equation f(x)=ax2+bx+c a, b, and c are real numbers, the equation are ax2+bx+c=0 .
Given:
The equation, ax2+bx+c=0
Concept Used:
Quadratic formula , x=−b±√b2−4ac2a
Calculation:
In order to find the nature of the graph , first solving the equation ax2+bx+c=0 as shown below:
ax2+bx+c=0x1,2=−b±√b2−4ac2ax=−b+√b2−4ac2a; a≠0x=−b−√b2−4ac2a;a≠0
the solutions for the equation are
x=−b+√b2−4ac2a; a≠0x=−b−√b2−4ac2a;a≠0
Now, plotting the graph of the equation ax2+bx+c=0 assuming a=1, b=2,c=3 as shown below:
Chapter P Solutions
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
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ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Finite Math: Markov Chain Example - The Gambler's Ruin; Author: Brandon Foltz;https://www.youtube.com/watch?v=afIhgiHVnj0;License: Standard YouTube License, CC-BY
Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY