Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.

The graph of the image is found by finding the images of the three vertices and joining them with straight lines (segments), in this way: every x-coordinate is multiplied by the scale factor (1/3).

These are the calculations:

1) Vertex (-3,3)

For x = - 3, new image is y = 3 * 1/3 = 3/3 = 1 => new vertex = (-3,1)

2) vertex (3,9)

=> For x = 3, new image is y = 9 * 1/3 = 9 / 3 = 3 => new vertex = (3,3)

3) vertex (6,6)

=> For x = 6, new image is y = 6 * 1/3 = 6 / 3 = 2 => new vertex = (6,2).

4) Draw the new three vertices: ( -3, 1), (3,3), and (6,2) on the grid and join the pairs to each other.