Question

figure o is the result of a transformation on figure n. which transformation would accomplish this? answer a reflection over the x - axis a translation 5 units left and 4 units down a reflection over the y - axis a translation 5 units right and 4 units up

Explanation:

Step1: Analyze reflection over x - axis

A reflection over the x - axis changes the sign of the y - coordinate of each point. Figure N and Figure O do not have this relationship.

Step2: Analyze reflection over y - axis

A reflection over the y - axis changes the sign of the x - coordinate of each point. Figure N and Figure O do not have this relationship.

Step3: Analyze translation 5 units left and 4 units down

To translate a point (x,y) 5 units left and 4 units down, the new point is (x - 5,y - 4). If we take a point on Figure N, say (2,1), after translation 5 units left and 4 units down, we get (2 - 5,1 - 4)=(-3,-3) which is consistent with the transformation from Figure N to Figure O.

Step4: Analyze translation 5 units right and 4 units up

This would move points in the opposite direction of what is needed to transform Figure N to Figure O.

Answer:

A translation 5 units left and 4 units down