Question

question 4 of 10 which of the following steps were applied to △abc obtain △abc? a. shifted 2 units left and 2 units up b. shifted 4 units left and 2 units up c. shifted 2 units left and 4 units up d. shifted 4 units left and 4 units up

Explanation:

Step1: Observe x - coordinate change

Let's take a vertex, say A. If we assume the coordinates of A are \((x_1,y_1)\) and of A' are \((x_2,y_2)\). By looking at the graph, for a general point, the x - coordinate of the new point (in \(\triangle A'B'C'\)) is 2 units less than the x - coordinate of the original point (in \(\triangle ABC\)). A left - shift in the x - direction is represented by subtracting from the x - coordinate.

Step2: Observe y - coordinate change

The y - coordinate of the new point is 4 units more than the y - coordinate of the original point. An up - shift in the y - direction is represented by adding to the y - coordinate.

Answer:

C. Shifted 2 units left and 4 units up