Final answer:
The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is (x', y') = (3x, 3y).
Step-by-step explanation:
A dilation is a transformation that changes the size of a figure without altering its shape. The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is given by the equation:
(x', y') = (3x, 3y)
This means that each coordinate of the original figure is multiplied by the scale factor to find the corresponding coordinate of the dilated figure.