Question

figure m is transformed to figure m in 3 steps. step 1: horizontal translation left 10 units. step 2: ____________. step 3: reflection across the x - axis. which transformation is needed in step 2 to map figure m onto figure m? a. horizontal translation left 3 units b. horizontal translation right 3 units c. vertical translation down 3 units d. vertical translat

Explanation:

Step1: Analyze the effect of Step 1

After the horizontal - translation left 10 units in Step 1, we need to further analyze the position change from the intermediate - figure (after Step 1) to figure $M'$. By observing the graph, we can see that the vertical position of the figure changes.

Step2: Determine the vertical change

Count the number of grid - units of the vertical displacement. We find that the figure needs to be moved down 3 units to match the position of figure $M'$ after considering the reflection across the $x$ - axis in Step 3.

Answer:

C. vertical translation down 3 units