Explanation Given info: y = x 2 − 6 x + 8 Concept used: Minimum value by completing the square and find the root by factorization: a 2 − 2 a b + b 2 = ( a − b ) 2 Calculation: Find the root by factorization root is that value of x , for which y = x 2 − 6 x + 8 = 0 x 2 − 6 x + 8 = 0 x 2 − 6 x + 4 × 2 = 0 ( splitting the constant term ) x 2 − 4 x − 2 x + 4 × 2 = 0 ( adjusting the middle term ) x 2 − 4 x − 2 x + 4 × 2 = 0 x ( x − 4 ) − 2 ( x − 4 ) = 0 ( taking common ) ( x − 2 ) ( x − 4 ) = 0 ( again taking common expression ) x = 2 or x = 4 Hence roots of equation x = 2 or 4 Minimum value of y = x 2 − 6 x + 8 ( ( x ) 2 − 2

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 1.2, Problem 44E

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Sketch the graph of y=x2−6x+8 by plotting the roots and the minimum point.

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Chapter 1.2, Problem 43E

Chapter 1.2, Problem 45E

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Chapter 1 Solutions

Calculus - Standalone book

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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Sketch the graph of y = x 2 − 6 x + 8 by plotting the roots and the minimum point.

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Sketch the graph of y=x2−6x+8 by plotting the roots and the minimum point.

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Chapter 1 Solutions