Answer:
Figure M
Step-by-step explanation:
Figure P has vertices at points (-2,4), (-2,8), (-6,8) and (-6,6).
Consider figure M with vertices (-4,-4), (-4,-8), (-8,-8) and (-8,-6).
1. Translate figure M 2 units to the right. This translation has the rule:
(x,y)→(x+2,y),
so
- (-4,-4)→(-2,-4);
- (-4,-8)→(-2,-8);
- (-8,-8)→(-6,-8);
- (-8,-6)→(-6,-6).
2. Reflect the translation image figure M across the x-axis according to the rule
(x,y)→(x,-y)
Thus,
- (-2,-4)→(-2,4);
- (-2,-8)→(-2,8);
- (-6,-8)→(-6,8);
- (-6,-6)→(-6,6).
