An ordered pair and a line are given. The ordered pair belongs to a quadratic function whose graph is symmetric about the given line. Find another ordered pair of this function. A) (2,3); x=1

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Answer to a math question An ordered pair and a line are given. The ordered pair belongs to a quadratic function whose graph is symmetric about the given line. Find another ordered pair of this function. A) (2,3); x=1

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Fred

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118 Answers

1. The given point is

(2, 3)

and the line of symmetry is

x = 1

.
2. In a quadratic function, points that are symmetric with respect to a vertical line have the same y-coordinate.
3. Since the line of symmetry is

x = 1

and the given point is

(2, 3)

, reflect the x-coordinate of the given point over the line of symmetry.
4. The distance from the given point to the line

x = 1

2 - 1 = 1

.
5. Reflecting across

x = 1

gives a new x-coordinate of

1 - 1 = 0

.
6. Therefore, the new point is

(0, 3)

.

[Solution]

(0, 3)

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