Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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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 7.5, Problem 28WE
To determine

The equation of the parabola in the form y−k=a(x−h)2 after finding the value of (k) if the equation of parabola is y−k=−3(x−1)2 which passes through the origin (0,0) .

Expert Solution & Answer
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Answer to Problem 28WE

The value of k=3 and the equation of the parabola is y−3=−3(x−1)2 .

Explanation of Solution

Given information: The equation of the given parabola is,

  y−k=−3(x−1)2 ....(1)

Calculation: Since the parabola (1) passes through the origin. Therefore satisfy point (0,0) in (1) gives the value of (k) . Therefore from (1),

  (0)−k=−3((0)−1)2 ....((x,y)→(0,0))−k=−3k=3

Again substitute k=3 in (1) will give the equation of the parabola. Therefore the equation of parabola from (1) is y−3=−3(x−1)2 .

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Chapter 7.5, Problem 27WE
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Chapter 7.5, Problem 29WE

Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 7.1 - Prob. 1OECh. 7.1 - Prob. 2OECh. 7.1 - Prob. 3OECh. 7.1 - Prob. 4OECh. 7.1 - Prob. 5OECh. 7.1 - Prob. 6OECh. 7.1 - Prob. 7OECh. 7.1 - Prob. 8OECh. 7.1 - Prob. 9OECh. 7.1 - Prob. 10OE
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Prob. 1OECh. 7.5 - Prob. 2OECh. 7.5 - Prob. 3OECh. 7.5 - Prob. 4OECh. 7.5 - Prob. 5OECh. 7.5 - Prob. 6OECh. 7.5 - Prob. 7OECh. 7.5 - Prob. 8OECh. 7.5 - Prob. 9OECh. 7.5 - Prob. 10OECh. 7.5 - Prob. 11OECh. 7.5 - Prob. 12OECh. 7.5 - Prob. 13OECh. 7.5 - Prob. 14OECh. 7.5 - Prob. 15OECh. 7.5 - Prob. 16OECh. 7.5 - Prob. 17OECh. 7.5 - Prob. 1WECh. 7.5 - Prob. 2WECh. 7.5 - Prob. 3WECh. 7.5 - Prob. 4WECh. 7.5 - Prob. 5WECh. 7.5 - Prob. 6WECh. 7.5 - Prob. 7WECh. 7.5 - Prob. 8WECh. 7.5 - Prob. 9WECh. 7.5 - Prob. 10WECh. 7.5 - Prob. 11WECh. 7.5 - Prob. 12WECh. 7.5 - Prob. 13WECh. 7.5 - Prob. 14WECh. 7.5 - Prob. 15WECh. 7.5 - Prob. 16WECh. 7.5 - Prob. 17WECh. 7.5 - Prob. 18WECh. 7.5 - Prob. 19WECh. 7.5 - Prob. 20WECh. 7.5 - Prob. 21WECh. 7.5 - Prob. 22WECh. 7.5 - Prob. 23WECh. 7.5 - Prob. 24WECh. 7.5 - Prob. 25WECh. 7.5 - Prob. 26WECh. 7.5 - Prob. 27WECh. 7.5 - Prob. 28WECh. 7.5 - Prob. 29WECh. 7.5 - Prob. 30WECh. 7.5 - Prob. 31WECh. 7.5 - Prob. 32WECh. 7.5 - Prob. 33WECh. 7.5 - Prob. 34WECh. 7.5 - 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