Question

/12 14. Perform these transformations in order on quad ABCD. A(-1, 1) B(0,5) C(1, 2) D(1, -1) (x, y) = (3x, 3y) (x,y) → (y,x) (x,y) -(-x, -Y) What are the final coordinates?

Answer 1

Answer:

For (x, y) → (3x, 3y)

The coordinates are:

A'(-3, 3), B'(0, 15), C'(3, 6), D'(3, -3)

For (x, y) → (y, x)

The coordinates are:

A'(1, -1), B'(5, 0), C'(2, 1), D'(-1, 1)

For (x, y) → (-x, -y)

The coordinates are:

A'(1, -1), B'(0, -5), C'(-1, -2), D'(-1, 1)

Step-by-step explanation:

For (x, y) → (3x, 3y)

The coordinates are:

A'(-3, 3), B'(0, 15), C'(3, 6), D'(3, -3)

We replaced x by 3x and y by 3y

For (x, y) → (y, x)

The coordinates are:

A'(1, -1), B'(5, 0), C'(2, 1), D'(-1, 1)

We replaced x by y, and y by x

For (x, y) → (-x, -y)

The coordinates are:

A'(1, -1), B'(0, -5), C'(-1, -2), D'(-1, 1)

We replaced x by -x, and y by -y.