Question

answer
a translation 2 units left and 5 units up
a translation 5 units left and 2 units up
a translation 2 units right and 5 units down
a translation 5 units right and 2 units down

Explanation:

Step1: Observe the change in x - coordinates

To go from a point in Figure W to the corresponding point in Figure X, the x - coordinate of each point in Figure W increases. For example, if we consider a vertex of Figure W and its corresponding vertex in Figure X, the x - value moves to the right. If we assume a vertex of Figure W has an x - coordinate \(x_1\) and the corresponding vertex of Figure X has an x - coordinate \(x_2\), \(x_2=x_1 + 2\). This indicates a 2 - unit right - ward translation.

Step2: Observe the change in y - coordinates

The y - coordinate of each point in Figure W decreases to get to the corresponding point in Figure X. If a vertex of Figure W has a y - coordinate \(y_1\) and the corresponding vertex of Figure X has a y - coordinate \(y_2\), \(y_2=y_1-5\). This indicates a 5 - unit down - ward translation.

Answer:

A translation 2 units right and 5 units down