Explanation Given Information: The equation of the parabola is y = ( x − 4 ) 2 + 2 . Consider the equation, y = ( x − 4 ) 2 + 2 The parabola having equation y = a ( x − h ) 2 + k will have vertical axis of symmetry. So that, the provided equation has vertical axis of symmetry. Now the parabola having equation of the form y = a ( x − h ) 2 + k , then if a > 0 the parabola will open upward and if a < 0 parabola opens downward. So, rewrite the provided equation as y = 1 ( x − 4 ) 2 + 2 and compare to find a = 1 . Therefore, as a > 0 the parabola will open upward. Now consider the provided equation y = ( x − 4 ) 2 + 2 to make a required table to draw a graph, For x = − 2 , y = ( − 2 − 4 ) 2 + 2 = 36 + 2 = 38 Therefore, the coordinate is ( − 2 , 38 ) . For x = − 1 , y = ( − 1 − 4 ) 2 + 2 = 25 + 2 = 27 Therefore, the coordinate is ( − 1 , 27 ) . For x = 0 . y = ( 0 − 4 ) 2 + 2 = 16 + 2 = 18 Therefore, the coordinate is ( 0 , 18 )

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ISBN: 9781266315183

Author: Miller

Publisher: MCG

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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 13.2, Problem 33PE

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The parabola y=(x−4)2+2 has axis vertical or horizontal axis of symmetry and then whether it opens upward, downward, left or right.

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Chapter 13.2, Problem 32PE

Chapter 13.2, Problem 34PE

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Ch. 13.1 - Find the distance between the points ( − 4 , − 2 )...Ch. 13.1 - Prob. 2SP Ch. 13.1 - Prob. 3SP Ch. 13.1 - Prob. 4SP Ch. 13.1 - Prob. 5SP Ch. 13.1 - Prob. 6SP Ch. 13.1 - Prob. 7SP Ch. 13.1 - Prob. 8SP Ch. 13.1 - Prob. 1PE Ch. 13.1 - Prob. 2PE

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The parabola y = ( x − 4 ) 2 + 2 has axis vertical or horizontal axis of symmetry and then whether it opens upward, downward, left or right.

Solution Summary: The author explains that the parabola y=(x-4)2+2 has axis vertical or horizontal symmetry and will open upward, downward, left or right.

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The parabola y=(x−4)2+2 has axis vertical or horizontal axis of symmetry and then whether it opens upward, downward, left or right.

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