Explanation Given Information: The equation of the parabola x = − 2 ( y − 1 ) 2 − 3 . Consider the equation is, x = − 2 ( y − 1 ) 2 − 3 The parabola having equation x = a ( y − k ) 2 + h will have horizontal axis of symmetry. So that, the provided equation has horizontal axis of symmetry. Now the parabola having equation of the form x = a ( y − k ) 2 + h , then if a > 0 the parabola will open right and if a < 0 parabola opens left. So, rewrite the provided equation as x = − 2 ( y − 1 ) 2 − 3 and compare to find a = − 2 . Therefore, as a < 0 the parabola will open left. Now consider the provided equation x = − 2 ( y − 1 ) 2 − 3 to make a required table to draw a graph, For y = 0 . x = − 2 ( − 0 − 1 ) 2 − 3 = − 2 − 3 = − 5 Therefore, the coordinate is ( − 5 , 0 )

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Author: Julie Miller, Molly O'Neill, Nancy Hyde

Publisher: McGraw-Hill Education

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Chapter 13.2, Problem 45PE

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The parabola x=−2(y−1)2−3 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 44PE

Chapter 13.2, Problem 46PE

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Chapter 13 Solutions

Beginning and Intermediate Algebra

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 x = − 2 ( y − 1 ) 2 − 3 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 x=-2(y-1)2-3 has axis vertical or horizontal symmetry and opens upward, downward, left or right.

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The parabola x=−2(y−1)2−3 has axis vertical or horizontal axis of symmetry and then whether it opens upward, downward, left or right.

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