Point Dilation by Scale Factor of 3
The question is asking for the image of the point (0, 6) after a dilation (a type of transformation that resizes objects) by a scale factor of 3, centered at the origin (0, 0).
To perform the dilation, you multiply each coordinate of the original point by the scale factor. Since the point is (0, 6) and the scale factor is 3:
- Multiply the x-coordinate by 3: 0 * 3 = 0
- Multiply the y-coordinate by 3: 6 * 3 = 18
So the image of the point (0, 6) after the dilation is (0, 18).