Question

Given point X (-4,1), center of dilation of (-2,-6), and scale factor of 3, find X'.

Answer 1

The image of point X after dilation is (-20,15).

Step-by-step explanation:

To find the image of point X after dilation, we can use the formula X' = Scale Factor * (X - Center of Dilation) + Center of Dilation.

Let's plug in the values:

X' = 3 * (-4,1 - (-2,-6)) + (-2,-6)

X' = 3 * (-6,7) + (-2,-6)

Simplifying further, we get X' = (-20, 15)