Question

The figure below is dilated by a factor of 3 centered at the origin. Plot the resulting image.

Point O is at (-1,1) Point N is at (3,2) Point K is at (-1,-1) Point L is at (-2,-2) and Point M is at (3,-1)

Answer 1

Under a dilation by factor 3 about the origin, each point (x,y) goes to (3x,3y). The image points are:

- O(-1, 1) → O'(-3, 3)
- N(3, 2) → N'(9, 6)
- K(-1, -1) → K'(-3, -3)
- L(-2, -2) → L'(-6, -6)
- M(3, -1) → M'(9, -3)

Plot those five points and connect them in the same order as the original figure to get the dilated image. If you want, I can draw a simple coordinate plot of the original and dilated figures.