Answer:
Point T(x, y) is translated 71 units up and then rotated 180° about the origin
Point U(x, y) is rotated 90° counterclockwise, then translated 124 units up.
Point V(x, y) is reflected about the y axis, then translated 8831 units to the left.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point R(x, y) is vertical stretched by a factor of 38 followed by a horizontal stretch of 7, the new point is at R'(x/7, 38y). That is (x, y) ⇒ (x/7, 38y).
If a point S(x, y) is translated 9 units to the right, the new point is (x + 9, y), if it is reflected over the y axis, the new point is S'(-x-9, y). That is (x, y) ⇒ (-x-9, y).
If a point T(x, y) is translated 71 units up, the new point is at (x, y + 71), if it is rotated 180° about the origin, the new point is at T'(-x, -y - 71). That is (x, y) ⇒ (-x, -y - 71).
If a point U(x, y) is rotated 90° counterclockwise, the new point is at (-y, x), if it is then translated 124 units up, the new point is U'(-y, x + 124).
If a point V(x, y) is reflected about the y axis, the new point is at (-x, y), if it is then translated 8831 units to the left, the new point is V'(-x - 8831, y).
