Respuesta :

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the given transformation

[tex](x,y)\rightarrow(y,x)[/tex]

STEP 2: Define transformation

Transformation involves moving an object from its original position to a new position. The object in the new position is called the image.

STEP 3: Describe the transformation

When we have a transformation where the x and y are swapped to form an image, this type of transformation is said to be "reflection about the line y =x".

Hence, the transformation that produces the image in the question is:

"Reflection about the line y = x"