The single transformation that could be applied is d. rotation of 90° clockwise about the origin
Which single transformation could be applied so the graph no longer represents a function?
From the question, we have the following parameters that can be used in our computation:
The graph
A function must pass the vertical line test, meaning that a vertical line should intersect the graph at most once.
For the given graph of a parabola opening up and passing through the origin, it currently represents a function because any vertical line will intersect the graph at most once.
To make it no longer represent a function, we would need to violate the vertical line test.
The only transformation that does this is (d) rotation of 90° clockwise about the origin
This is so because when rotated by 90 degrees, the vertical line test would no longer apply as there would be more than one intersection between a line drawn from the x-axis and the curve