A dilation has center (0, 0, 0). Find the image of the point (-1, -2, 0) for the scale factor of 3.
Please help? Thanks
Is the answer -3, -6, 0???
yes.
Dilation with center of 0,0 and scale factor of 2/3, what are the coordinates of the vertices?? I’m so confused!! Help!!!
hey
Sure, I'd be happy to help! So, to find the image of a point under a dilation, you simply multiply each coordinate of the original point by the scale factor. In this case, since the scale factor is 3 and the center of dilation is (0, 0, 0), we can find the image as follows:
For the x-coordinate: (-1) * 3 = -3
For the y-coordinate: (-2) * 3 = -6
For the z-coordinate: (0) * 3 = 0
Therefore, the image of the point (-1, -2, 0) under the dilation with a scale factor of 3 and center at (0, 0, 0) is (-3, -6, 0).
Hope that helps! Let me know if you have any other questions.
To find the image of a point after a dilation, you need to multiply each coordinate of the point by the scale factor.
In this case, the center of the dilation is given as (0, 0, 0), which means the origin is the center of the dilation.
The scale factor is given as 3, so you need to multiply each coordinate of the point (-1, -2, 0) by 3.
Let's perform the multiplication:
x-coordinate: -1 * 3 = -3
y-coordinate: -2 * 3 = -6
z-coordinate: 0 * 3 = 0
Therefore, the image of the point (-1, -2, 0) under the dilation with a scale factor of 3 and a center of (0, 0, 0) is (-3, -6, 0).