Question

If there is a dilation of 1/4 about the origin and a dilation of 2ab with the point A(-5,-4) as the center, what are the coordinates of point V(0,-1) after these dilations?

Answer 1

To find the coordinates of point V after the dilations, first apply the dilation of 1/4 about the origin, then apply the dilation of 2ab with point A(-5,-4) as the center.

Step-by-step explanation:

To find the coordinates of point V after the dilations, we need to apply both dilations one after another. First, let's apply the dilation of 1/4 about the origin to point V(0, -1).

Using the formula for dilation, the new coordinates after the first dilation would be (1/4)(0, -1) = (0, -1/4).

Now, let's apply the dilation of 2ab with point A(-5,-4) as the center. Using the formula for dilation, the new coordinates after the second dilation would be (2ab)(0, -1/4) = (0, -ab/2).