Final answer:
The point given is (-8, -4). To find the image after dilation, we multiply each coordinate by the scale factor. Thus, the x-coordinate -8 becomes -8 × 2 = -16 and the y-coordinate -4 becomes -4 × 2 = -8. Therefore, the image of (-8, -4) after a dilation by a scale factor of 2 is (-16, -8), which corresponds to option d.
Step-by-step explanation:
To find the image of (-8, -4) after a dilation by a scale factor of 2, multiply each coordinate by the scale factor. In this case, multiplying -8 by 2 gives -16, and multiplying -4 by 2 gives -8. Therefore, the image of (-8, -4) after a dilation by a scale factor of 2 is (-16, -8), which corresponds to option d. (-16, -8) in the given choices.