Question

The graph below represents a function.

Which single transformation could be applied to the graph so that it no longer represents a function?

A. reflection across the x-axis

B. reflection across the y-axis

C. translation 5 units to the left

D. rotation of 90° clockwise about the origin

Answer 1

I believe it is B. (Reflection of the y axis)

Answer 2

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Which single transformation could be applied so the graph no longer represents a function?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To make it no longer represent a function, we would need to violate the vertical line test.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