Answer: To find the image of point L(-4,3) after a dilation with a scale factor of 3 and center at the origin, we need to multiply the coordinates of point L by the scale factor.
The formula for dilation is:
(x', y') = (kx, ky)
where (x, y) are the original coordinates, (x', y') are the coordinates of the image, and k is the scale factor.
In this case, k = 3 and the coordinates of point L are (-4, 3).
So,
x' = kx = 3(-4) = -12
y' = ky = 3(3) = 9
Therefore, the image of point L(-4, 3) after the dilation with a scale factor of 3 and center at the origin is (-12, 9).
Explanation: