Which sequence of transformations produced the image?
a counter-clockwise rotation 90° about the origin followed by a translation 2 units to the right and 1 unit up
a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin
a clockwise rotation 90° about the origin followed by a reflection across the y-axis
a reflection across the y-axis followed by a clockwise rotation 90° about the origin

Question

12-07-2022
Mathematics

contestada

Which sequence of transformations produced the image?
a counter-clockwise rotation 90° about the origin followed by a translation 2 units to the right and 1 unit up
a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin
a clockwise rotation 90° about the origin followed by a reflection across the y-axis
a reflection across the y-axis followed by a clockwise rotation 90° about the origin

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AFOKE88 AFOKE88 · Answer 1 · 2022-07-13T17:37:20+02:00

The sequence of transformation is; B. A translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin.

What is the sequence of Transformation?

From the given image in the transformation, we can see that the pre image which is the original image is on the right hand side while the image after transformation is on the left hand side.

Now it will be noticed that in the pre image, all the x and y coordinates are positive while the image after transformation has all the x-coordinates as negative with the y-coordinates as positive.

This transformation when critically examined is seen to be a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin.

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