The image of (-5,-5) after a dilation by a scale factor of 3 centered at the origin is (-15, -15).
To find the image of (-5,-5) after a dilation by a scale factor of 3 centered at the origin, we need to multiply the coordinates of the point by the scale factor. The coordinates of the image can be found using the formula (k * x, k * y), where k is the scale factor and (x,y) are the original coordinates.
For the point (-5,-5) and a scale factor of 3, the image coordinates would be (-5 * 3, -5 * 3), which simplifies to (-15, -15).
Remember, if the scale factor is greater than 1, the point moves away from the origin, and if the scale factor is between 0 and 1, the point moves toward the origin. In this case, the scale factor of 3 causes the point to move farther away.