Explanation Given information : we have given three points ( − 1 , − 1 ) , ( 3 , 1 ) a n d ( 4 , 0 ) Let the equation of parabola be x = a y 2 + b y + c …..(1) The curve passes through the points ( − 1 , − 1 ) , ( 3 , 1 ) a n d ( 4 , 0 ) Hence, ( − 1 , − 1 ) ⇒ − 1 = a − b + c

Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

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ISBN: 9780321869401

Author: J. S. Ratti

Publisher: PEARSON

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 8.2, Problem 72E

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To compute : Find an equation of a parabola with axis parallel to x-axis and passing through the points (−1,−1),(3,1) and (4,0)

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Chapter 8.2, Problem 71E

Chapter 8.2, Problem 73E

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Chapter 8 Solutions

Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - Prob. 5E Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E

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Find an equation of a parabola with axis parallel to x-axis and passing through the points ( − 1 , − 1 ) , ( 3 , 1 ) a n d ( 4 , 0 )

Solution Summary: The author explains that the equation of a parabola is x=-3y2+2y+4. The curve passes through the points (-1,-1), (3,1)

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To compute : Find an equation of a parabola with axis parallel to x-axis and passing through the points (−1,−1),(3,1) and (4,0)

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Chapter 8 Solutions