Question

determine a series of transformations that would map figure l onto figure m.

Explanation:

Step1: Reflect over the x - axis

Reflecting Figure L over the x - axis changes the sign of the y - coordinates of its vertices. For example, if a vertex of Figure L is \((x,y)\), after reflection over the x - axis, it becomes \((x, - y)\).

Step2: Translate 3 units up

After reflection, translating the figure 3 units up adds 3 to the y - coordinate of each vertex. If a vertex after reflection is \((x,y_1)\), after translation, it becomes \((x,y_1 + 3)\).

Answer:

Reflect over the x - axis followed by a translation 3 units up.