Question

Write a function to represent each series of transformations:

Answer 1

Answer:

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

Step-by-step explanation:

Rotation 90° CCW about the origin is the mapping ...

... (x, y) ⇒ (-y, x)

Reflection across the x-axis is the mapping ...

... (x, y) ⇒ (x, -y)

Together, these do the following mapping:

... (x, y) ⇒ (-y, -x) . . . . . . . equivalent to a reflection across y = -x

Expressed as a function, this might be written ...

... f((x, y)) = (-y, -x) . . . . . . . the ordered pair argument becomes a new ordered pair