Answer:
P'(-16, 0)
Explanation:
You want the coordinates of the image of P(-4, 0) when the figure is dilated by a factor of 4 about the origin.
Dilation
Dilation about the origin multiplies each coordinate by the dilation factor:
P' = 4P
P' = 4(-4, 0) = (-16, 0)
The coordinate of the image point are (-16, 0).