INFORMATION:
We have a triangle and, we must sketch the image A'B'C' by dilating using a scale factor of 3 with the center of dilation at the origin
STEP BY STEP EXPLANATION:
If we analyze the graph, we can see that the original points of the triangles are:
- A = (-1, 3)
- B = (4, 1)
- C = (2, -4)
Now, since we must sketch the image A'B'C' by dilating using a scale factor of 3 we need to multiply each point by 3
- A' = (-1 * 3, 3 * 3) = (-3, 9)
- B' = (4 * 3, 1 * 3) = (12, 3)
- C' = (2 * 3, -4 * 3) = (6, 12)
ANSWER:
Finally, graphing the sketch