Which of the following is the result of flipping the graph of the function shown
below over the line y - x?
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Answer:
See attachment
Step-by-step explanation:
When the graph of the given function is flipped over the line [tex]y=x[/tex], the coordinates will swap.
The mapping for a reflection in the line [tex]y=x[/tex] is [tex](x,y)\to(y,x)[/tex].
We can observe that one portion of the graph is in the first quadrant [tex](x,y)[/tex]. When we flip this part we will get [tex](y,x)[/tex], which is still in the first quadrant.
Also, when we flip the portion of the graph in the second quadrant (-x,y), we will obtain (y,-x), which is standing for all coordinates in the fourth quadrant.
The image is shown in the attachment.