The rule for the reflection is explained below. The correct option will be x-axis (x, y) = (x, -y).
In real life, we think of a reflection as a mirror image, like when we look at own reflection in the mirror.
This idea of reflection correlating with a mirror image is similar in math.
<h3>Reflection Over the X Axis </h3>
A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image.
In this case, the x axis would be called the axis of reflection.
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
When point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).
Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.
<h3>Reflection Over the Y Axis </h3>
A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image.
In this case, the Y axis would be called the axis of reflection.
The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same.
when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4).
Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.
Hence the correct option is r x-axis(x, y) = (x, -y).
For more details on reflection follow the link:
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