Respuesta :

The rule of the transformation 1 is (x, y) = (x + 4, y) and the rule of the transformation 2 is (x, y) = (x, -y)

How to determine the rule of transformation?

Transformation 1

From the given figure (1), we have the following observations

  • Corresponding points have the same y-coordinates
  • The image of the transformation is 4 units to the right of the pre-image

This is represented as:

(x, y) = (x + 4, y)

Hence, the rule of the transformation is (x, y) = (x + 4, y)

Transformation 2

From the given figure (2), we have the following observations

  • Corresponding points at opposite axes
  • The pre-image of the transformation is reflected across the x-axis to get the image

This is represented as:

(x, y) = (x, -y)

Hence, the rule of the transformation is (x, y) = (x, -y)

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