Explanation Given: The parabola with the vertex at ( − 7 , 3 ) and that opens to the right. Also, this parabola crosses the x -axis at ( 2 , 0 ) and it is of the form x = ( y − k ) 2 + h . Formula used: Standard equation of horizontal parabola with its vertex at ( h , k ) is, x = a ( y − k ) 2 + h It opens to right if a > 0 and to the left if a < 0 . Calculation: The parabola is with the vertex ( h , k ) = ( − 7 , 3 ) . The parabola opens to the right so a > 0 . Assume, a = 1

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ISBN: 9780135909942

Author: TOBEY/SLATER

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 9, Problem 11T

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To calculate: The standard form of equation for the parabola with the vertex at (−7,3) and that opens to the right. Also, this parabola crosses the x-axis at (2,0) and it is of the form x=(y−k)2+h.

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Chapter 9, Problem 10T

Chapter 9, Problem 12T

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Chapter 9 Solutions

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The standard form of equation for the parabola with the vertex at ( − 7 , 3 ) and that opens to the right. Also, this parabola crosses the x -axis at ( 2 , 0 ) and it is of the form x = ( y − k ) 2 + h .

Solution Summary: The author calculates the standard form of equation for the parabola with the vertex at (-7,3) and that opens to the right.

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To calculate: The standard form of equation for the parabola with the vertex at (−7,3) and that opens to the right. Also, this parabola crosses the x-axis at (2,0) and it is of the form x=(y−k)2+h.

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Chapter 9 Solutions