Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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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 .

  Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P.6, Problem 52E , additional homework tip 1

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:

  Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P.6, Problem 52E , additional homework tip 2Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P.6, Problem 52E , additional homework tip 3

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Chapter P Solutions

Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition

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