Question

figure m is the result of a transformation on figure l. which transformation would accomplish this? answer a reflection over the x -axis a translation 4 units left and 1 unit down a translation 1 unit right and 4 units up a reflection over the y -axis

Explanation:

Step1: Check reflection over x - axis

For a reflection over the x - axis, the rule is $(x,y)\to(x, - y)$. Points of Figure L would not match Figure M after this transformation.

Step2: Check translation 4 units left and 1 unit down

The rule for translation 4 units left and 1 unit down is $(x,y)\to(x - 4,y - 1)$. Points of Figure L would not match Figure M after this transformation.

Step3: Check translation 1 unit right and 4 units up

The rule for translation 1 unit right and 4 units up is $(x,y)\to(x + 1,y+4)$. If we take a point on Figure L, say $(-4,-4)$ and apply the transformation: $(-4 + 1,-4 + 4)=(-3,0)$. By checking multiple points, we can see this transformation maps Figure L to Figure M.

Step4: Check reflection over y - axis

For a reflection over the y - axis, the rule is $(x,y)\to(-x,y)$. Points of Figure L would not match Figure M after this transformation.

Answer:

A translation 1 unit right and 4 units up