Question

question figure n is the result of a transformation on figure m. which transformation would accomplish this? answer a translation 2 units up a translation 2 units down a reflection over the x - axis a reflection over the y - axis

Explanation:

Step1: Analyze translation

Translation moves a figure without flipping. If it's 2 units up or down, the orientation remains same. But Figure \(N\) is flipped compared to Figure \(M\) in a vertical - axis - related way (not just vertical shift).

Step2: Analyze reflection

Reflection over the \(x -\)axis changes the \(y -\)coordinate sign. If we have a point \((x,y)\) on Figure \(M\), after reflection over the \(x -\)axis, it becomes \((x, - y)\). Visually, Figure \(N\) is the mirror - image of Figure \(M\) across the \(x -\)axis. Reflection over the \(y -\)axis would change the \(x -\)coordinate sign (not the case here as the left - right position relative to \(y -\)axis is same for corresponding points of \(M\) and \(N\) in terms of distance from \(y -\)axis).

Answer:

A reflection over the \(x -\)axis.