Question

Which algebraic rule describes the 90° clockwise rotation about the origin?

Answer 1

(-y,x)

Explanation:

Answer 2

(x,y) ---> (y,-x)

We switch the x and y values, and make the x value the opposite.

Explanation:

We are basically shifting the entire graph by aplying these changes.

By inverting the x and y axis, we are changing the domain and range of the function. We are switching the original values.

By multiplying by -1 we are effectively changing the orientation 180 degrees.

Lets do an example with

y = sin(x)

picture 1

x = sin(y)

picture 2

x = -sin(y)

picture 3