Plot the image of point B under a dilation about point P
with a scale factor of

Please find the attached file.

We have been given am image of point B on coordinate plane. We are asked to plot the mage of point B under a dilation about point P  with a scale factor of .

To solve our given problem, we need to find vertical distance and horizontal distance between point B and point P.  

We can see that vertical distance is 4 units as shown in the attachment and horizontal distance is 6 units.

Since the scale of dilation is , so the vertical distance between point P and B' would be of 4 that is .

The horizontal distance between point P and B' would be of 6 that is .

Now we will count 3 units to left of point P and 2 units upwards. That will be the position of point B'.