<u>Given</u>:
Given that the graph of the triangle ABC.
The coordinates of the triangle are A(2,-1), B(-1,1) and C(1,-2)
We need to determine the coordinates of the point A after the dilation with a scale factor of 3 centered at the origin.
<u>Coordinates of the point A after dilation:</u>
The general rule for a coordinate to dilate a factor of c from the origin is given by

Thus, applying the above rule, the coordinate A(2,-1) is dilated by a scale factor of 3 about the origin, we get;

Simplifying, we get;

Thus, the coordinates of point A after dilation with a scale factor of 3 centered at the origin is (6,-3)