Question

The figure below is dilated by a factor of 4 centered at the origin. Plot the resulting image.
A is at (-2,1) B is at (0,-2) C is at (2,-1) D is at (1,1) and E is at (1,2)

Answer 1

A dilation by factor 4 about the origin multiplies every coordinate by 4. So the image points are:

- A' = 4·(-2, 1) = (-8, 4)
- B' = 4·(0, -2) = (0, -8)
- C' = 4·(2, -1) = (8, -4)
- D' = 4·(1, 1) = (4, 4)
- E' = 4·(1, 2) = (4, 8)

Plot those five points and connect them in the same order as the original figure (A' → B' → C' → D' → E' → back to A') to get the dilated image.