Which rule describes the transformation that is reflection across the x-axis

The rule is (x, y) ⇒ (x, -y)

Transformation is the movement of point from its initial location to a new location. Type of transformation include translation, dilation, reflection and rotation. If a figure is transformed, all its points are also transformed.

Reflection is the flipping of a figure. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y) i.e. its x coordinate remains the same and the y coordinate changes.

Hence the rule that describes the transformation across the x axis is:

(x, y) ⇒ (x, -y)

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Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

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