To find the image of the point e under a dilation with center at (0, 0) and a scale factor of 6, we need to apply the dilation formula. The formula for dilation centered at the origin is given by:
D(x, y) = (kx, ky)
where (x, y) is the original point, k is the scale factor, and (kx, ky) is the image after dilation.
In this case, we assume that ‘e’ represents the point (1, e), where ‘e’ is the mathematical constant approximately equal to 2.718. Using the dilation formula:
Scale factor (k) = 6
Original point (x, y) = (1, e)
Now, we apply the scale factor:
- New x-coordinate = 6 * 1 = 6
- New y-coordinate = 6 * e = 6e
Thus, the image of the point e after dilation is (6, 6e).