A dilation has center (0,0). Find the image of the point L(-6,0) for the scale factor 2 .
To find the image of the point L(-6,0) after a dilation with center (0,0) and scale factor 2, we need to multiply the coordinates of point L by the scale factor.
The new coordinates of the point L after dilation can be found using the formula:
(x', y') = (k*x, k*y)
where (x', y') are the coordinates of the image point, (x, y) are the coordinates of the original point, and k is the scale factor.
In this case, the scale factor is 2, so we have:
x' = 2*(-6) = -12
y' = 2*0 = 0
Therefore, the image of the point L(-6,0) after dilation with center (0,0) and scale factor 2 is M(-12, 0).