Question

directions: graph and label each figure and its image. give the new coordinates. 1. trapezoid stuv with vertices s(-3, 6), t(0, 7), u(1, 4), and v(-5, 2): (x, y)→(x + 7, y - 9)

Explanation:

Step1: Calculate new x - coordinate of S

For point S(-3, 6), use the transformation (x,y)→(x + 7,y - 9). New x - coordinate is - 3+7 = 4.

Step2: Calculate new y - coordinate of S

New y - coordinate is 6 - 9=-3. So S' is (4,-3).

Step3: Calculate new x - coordinate of T

For point T(0, 7), new x - coordinate is 0 + 7=7.

Step4: Calculate new y - coordinate of T

New y - coordinate is 7 - 9=-2. So T' is (7,-2).

Step5: Calculate new x - coordinate of U

For point U(1, 4), new x - coordinate is 1+7 = 8.

Step6: Calculate new y - coordinate of U

New y - coordinate is 4 - 9=-5. So U' is (8,-5).

Step7: Calculate new x - coordinate of V

For point V(-5, 2), new x - coordinate is - 5+7 = 2.

Step8: Calculate new y - coordinate of V

New y - coordinate is 2 - 9=-7. So V' is (2,-7).

Answer:

S'(4,-3)
T'(7,-2)
U'(8,-5)
V'(2,-7)