Question

translating a shape 3 units left and 2 units up changes the coordinates of (6,1) to what?
a. (3,−1)
b. (9,−1)
c. (6,3)
d. (3,3)

Explanation:

Step1: Analyze horizontal translation

For a horizontal translation (left/right), moving left subtracts from the x - coordinate. The original x - coordinate is 6, and we move 3 units left. So the new x - coordinate is $6 - 3=3$.

Step2: Analyze vertical translation

For a vertical translation (up/down), moving up adds to the y - coordinate. The original y - coordinate is 1, and we move 2 units up. So the new y - coordinate is $1 + 2 = 3$.

Step3: Determine the new coordinate

Combining the new x and y coordinates, the new coordinate of the point $(6,1)$ after the translation is $(3,3)$.

Answer:

d. (3, 3)