Using translation concepts, it is found that the transformation is a reflection over the y-axis.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that A is mapped to C and vice-versa. Since they are equidistant to the y-axis, we have that the rule is given by:
(x,y) -> (-x,y).
Meaning that the transformation is a reflection over the y-axis.
For O and B, the rules are given as follows:
- O: (0,0) -> (-0,0) = (0,0).
- B: (0,4) -> (-0, 4) = (0,4).
Showing that points O and B are invariant, keeping the same coordinates and confirming that the transformation is a reflection over the y-axis.
More can be learned about translation concepts at brainly.com/question/4521517
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