Answer:
C. Dilation by a scale factor of 2 followed by reflection about the y-axis
Step-by-step explanation:
You are given triangle with vertices A(1,2), B(0,0) and C(3,-1).
1. Dilation by a factor of 2 has the rule:
(x,y)→(2x,2y)
So,
- A(1,2)→A''(2,4);
- B(0,0)→B''(0,0);
- C(3,-1)→C''(6,-2).
2. Reflection about the y-axis has the rule:
(x,y)→(-x,y)
So,
- A''(4,2)→A'(-4,2);
- B''(0,0)→B'(0,0);
- C''(6,-2)→C'(-6,-2).
Points A', B' and C' are exactly vertices of the triangle A'B'C' shown in the diagram.
