Question

the figure below is translated down 4 units and then rotated 180° counterclockwise. what are the coordinates of the image of point e after these transformations?

Explanation:

Step1: Determine original coordinates of point E

From the graph, the original coordinates of point E are (2, 3).

Step2: Perform the translation

The rule for translating a point (x, y) down 4 units is (x, y - 4). So for point E(2, 3), after translation, the coordinates become (2, 3 - 4)=(2, - 1).

Step3: Perform the 180 - degree counter - clockwise rotation

The rule for rotating a point (x, y) 180° counter - clockwise about the origin is (-x, -y). For the point (2, - 1) after translation, after rotation, the coordinates become (-2, 1).

Answer:

(-2, 1)