A dilation has center​ (0,0). Find the image of the point ​L(-8​,0​) for the scale factor 4 .

To find the image of the point L(-8, 0) under a dilation with a scale factor of 4 and center (0, 0), we can use the following formula:

(x', y') = (k * x, k * y)

where (x', y') is the image of the point (x, y) under the dilation with a scale factor of k.

In this case, the scale factor is 4 and the center is (0, 0). So, we have:

(x', y') = (4 * (-8), 4 * 0)

= (-32, 0)

Therefore, the image of the point L(-8, 0) under the dilation with a scale factor of 4 and center (0, 0) is (-32, 0).