Answer: the image of the point (0, 8) under the translation is (-2, 12).
Explanation:
A translation in the coordinate plane is a transformation that moves each point a certain distance in a certain direction. To find the image of a point under a translation, we need to add the same vector to the coordinates of the point.Let's call the translation vector (h, k), where h is the horizontal translation and k is the vertical translation. From the information given, we can find the translation vector by subtracting the original coordinates from the translated coordinates of one point:(7, 4) - (9, 0) = (-2, 4)So, the translation vector is (-2, 4). To find the image of the point (0, 8) under the same translation, we just add the translation vector to the original coordinates:(0, 8) + (-2, 4) = (-2, 12)So, the image of the point (0, 8) under the translation is (-2, 12).