Final answer:
The coordinates of the image of point C can be found using the dilation formula: x' = (S * (x - h)) + h and y' = (S * (y - k)) + k.
Step-by-step explanation:
The coordinates of the image of point C when a triangle is dilated with center (2, 0) and scale factor S can be found using the dilation formula:
x' = (S * (x - h)) + h
y' = (S * (y - k)) + k
In this case, the center of dilation is (2, 0) and the scale factor is S. So if the coordinates of point C are (x, y), then the coordinates of the image of C would be:
x' = (S * (x - 2)) + 2
y' = (S * (y - 0)) + 0
For example, if S = 2 and the coordinates of C are (4, 3), then the coordinates of the image of C would be:
x' = (2 * (4 - 2)) + 2 = 6
y' = (2 * (3 - 0)) + 0 = 6