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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110 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 isx = 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 linex = 1 is 2 - 1 = 1 .

5. Reflecting acrossx = 1 gives a new x-coordinate of 1 - 1 = 0 .

6. Therefore, the new point is(0, 3) .

[Solution]

(0, 3)

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

4. The distance from the given point to the line

5. Reflecting across

6. Therefore, the new point is

[Solution]

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