What are the coordinates of T’, the image of point T(2, 4) translated 2 units to the right and 3 units down
to the right is positive x ... add 2 to the x-coordinate
down is negative y ... subtract 3 from the y-coordinate
To find the coordinates of T' after the translation, we need to apply the translation vector to the original coordinates of T.
Let's break down the translation into two steps: moving 2 units to the right and 3 units down.
Step 1: Moving 2 units to the right
To move a point horizontally to the right, we add the given value to the x-coordinate. In this case, T has coordinates (2, 4), and we want to move it 2 units to the right. So we add 2 to the x-coordinate:
New x-coordinate = 2 + 2 = 4
After this step, the coordinates become (4, y), where y is the unchanged y-coordinate from T.
Step 2: Moving 3 units down
To move a point vertically down, we subtract the given value from the y-coordinate. In this case, T has coordinates (4, 4), and we want to move it 3 units down. So we subtract 3 from the y-coordinate:
New y-coordinate = 4 - 3 = 1
After this step, the coordinates become (4, 1).
Therefore, the coordinates of T' after the translation are T'(4, 1).