Question

figure e is the result of a transformation on figure d. which transformation would accomplish this? answer a translation 5 units left and 2 units up a reflection over the x -axis a translation 2 units left and 5 units up a reflection over the y -axis

Explanation:

Step1: Analyze translation

Translation changes position without flipping. Comparing Figure D and Figure E, the orientation has changed, so it's not a translation.

Step2: Analyze reflection

For a reflection over the x - axis, (x,y)→(x, - y). This doesn't match the transformation here. For a reflection over the y - axis, (x,y)→(-x,y). If we take a point on Figure D, say (3, - 5), and reflect it over the y - axis, we get (-3, - 5), which is consistent with the transformation to Figure E.

Answer:

A reflection over the y - axis