Question

In the same way that other functions can be combined, a series of transformations can be combined into a single function. For example, this statement for the function S shows one way to represent the rotation of a point 270° counterclockwise about the origin followed by a translation 3 units to the left and 1 unit up: S(270, O)/<-3,1>(x, y) = (y – 3, -x + 1).
Write a function to represent each series of transformations:

rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis

reflection across the y-axis, then a translation a units to the right and b units up

translation a units to the right and b units up then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis

Answer 1

Ok, I think I know what it is saying. I may not be correct but hopefully this gives a idea of a sort.....Im sorry.


The rotation of 90* reflected across the x-axis, so I would think that it is -O. 90(O,-O).

90(O,-O)greater than or equal to ( a units, b units).

Answer 2

Answer:

f (x,y) = (-y,-x)

f (x,y) = (-x+a, y+b)

f (x,y) = ((x+a), -(y+b))