Dilation involves changing the size and position of a point
The image of the dilation is (4,-3)
From the figure, the coordinates of point D and point P are:
[tex]D = (13,2)[/tex]
[tex]P = (1,11)[/tex]
The scale factor of dilation is given as:
[tex]k = \frac{1}{3}[/tex]
The rule of dilation about point P is then calculated as:
[tex](x,y) \to k(x_D - x_P, y_D - y_P)[/tex]
So, we have:
[tex](x,y) \to \frac 13 \times (13 - 1, 2- 11)[/tex]
Simplify
[tex](x,y) \to \frac 13 \times (12, -9)[/tex]
Expand
[tex](x,y) \to (\frac 13 \times 12, -\frac 13 \times9)[/tex]
[tex](x,y) \to (4, -3 )[/tex]
This means that, the image of the dilation is (4,-3)
See attachment for the image of the dilation
Read more about dilation at:
https://brainly.com/question/8532602
