A dilation has center (0, 0 ,0). Find the image of the point (-1, -2, 0) for the scale factor of 3.
To find the image of a point after dilation, we need to scale each coordinate of the point by the scale factor.
In this case, the scale factor is 3.
Let's scale each coordinate of the point (-1, -2, 0) by 3:
- x-coordinate = -1 * 3 = -3
- y-coordinate = -2 * 3 = -6
- z-coordinate = 0 * 3 = 0
Therefore, the image of the point (-1, -2, 0) after dilation with a scale factor of 3 is (-3, -6, 0).
To find the image of a point under dilation, we need to multiply the coordinates of the point by the scale factor.
In this case, the scale factor is 3 and the point is (-1, -2, 0). To find the image of this point, we need to multiply each coordinate by 3.
Let's do the calculations:
- For the x-coordinate: (-1) x 3 = -3
- For the y-coordinate: (-2) x 3 = -6
- For the z-coordinate: 0 x 3 = 0
So the image of the point (-1, -2, 0) under dilation with a scale factor of 3 and a center at (0, 0, 0) is (-3, -6, 0).
a scale factor of 3 means that all distances are multiplied by 3.
So, multiply all your coordinates by 3.