ABC goes through a sequence of transformations to form A'B'C'. The sequence of transformations involved are
B) translation 2 units to the right and followed by a
B) reflection across the y-axis
This can be explained by using the graph and the definition of transformation
Transformations:
- Transformations are changes done in the shapes on a coordinate plane
- There are four types of transformations. They are translation, rotation, reflection, and dilation
- The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function
- The translation, rotation, and reflection are called rigid transformations wherein the image is congruent to its pre-image. These are isometric transformations
- Dilation stretches or shrinks the pre-image i.e., expands or contracts the shape. It is non-isometric.
The sequence of transformations involved:
- From all the information given above, it came to know that the sequence of transformations involved in transforming ABC to A'B'C' is translation and reflection.
- ABC is translated by 2 units to the right, it is shown in the graph
- And followed by a reflection across the y-axis
- There is no rotation happened
Thus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.
Learn more about transformations here:
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