Answer:
AI-generated answer
To find the vertices of the image of the figure under the given translation, we need to apply the translation vector (4, -2) to each vertex of the original figure.
Let's say the original figure has vertices A, B, C, and D. To find the new vertices of the image, we add 4 to the x-coordinates and subtract 2 from the y-coordinates of each vertex.
So, if the original vertices are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4), the new vertices of the image after the translation will be:
A'(x1 + 4, y1 - 2)
B'(x2 + 4, y2 - 2)
C'(x3 + 4, y3 - 2)
D'(x4 + 4, y4 - 2)
These are the new vertices of the image under the given translation.
Explanation: