To find the image vertices after a dilation with a center of (0,0) and a scale factor of 4, we need to multiply the coordinates of each vertex by the scale factor.
Let's say we have a triangle with vertices A, B, and C. The coordinates of these vertices are:
A = (2, 4)
B = (-3, 1)
C = (0, -2)
To find the image vertices after a dilation with a center of (0,0) and a scale factor of 4, we can multiply each coordinate by 4.
For vertex A:
A' = (4 * 2, 4 * 4) = (8, 16)
For vertex B:
B' = (4 * (-3), 4 * 1) = (-12, 4)
For vertex C:
C' = (4 * 0, 4 * (-2)) = (0, -8)
Therefore, the image vertices after a dilation with a center of (0,0) and a scale factor of 4 are:
A' = (8, 16)
B' = (-12, 4)
C' = (0, -8)