Question

A dilation has center (0,0). Find the image of the point L(-6,0) for the scale factor 5.

Answer 1

The image of the point L(-6,0) under a dilation with center (0,0) and scale factor 5 is (-30,0).

Step-by-step explanation:

To find the image of the point L(-6,0) under a dilation with center (0,0) and scale factor 5, we need to multiply the coordinates of the point by the scale factor. The image coordinates (x', y') can be found using the formula:

x' = 5 * x

y' = 5 * y

Applying this formula, we get:

x' = 5 * (-6) = -30

y' = 5 * 0 = 0

Therefore, the image of the point L(-6,0) under the dilation with center (0,0) and scale factor 5 is (-30,0).