Question

Explain how you could transform a function to reflect it over the line x = y.

Answer 1

we will interchange the x coordinates and the y coordinates.

Step-by-step explanation:

To transform a function to reflect over the line y = x, the x axis and y axis switch places.

For example, if we reflect the point (2, 3) over the line y = x

the x-coordinate and y-coordinate change places:

It becomes: (3, 2)

Since transforming a function to reflect over the line y = x is the same as transforming a function to reflect it over the line x = y.

So, (x, y) becomes (y, x)

We can conclude that, to transform a function to reflect it over the line x = y, we will interchange the x coordinates and the y coordinates.