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Question

The coordinates of the reflection of the point P, across the Y-axis are


A
(-3,-2)
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B
(3,-2)
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C
(-3,2)
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D
(3,2)
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Solution

The correct option is A (-3,-2)
Examining the graph, we find the following:


The point P is 3 units to the right of the Y-axis.

So, treating the Y-axis as a mirror, we can find the reflection of point P at point R, 3 units to the left of the
Y-axis.


Now, the coordinates of the point R can be found by measuring its distance from the axes.


The point R is 3 units to the left of the Y-axis and 2 units below the X-axis.

Hence, the coordinates of R will be (-3,-2).

Therefore, the coordinates of the reflection of the point P across the Y-axis are: (-3,-2).

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