Question

What is the image of (4, -8) after a dilation by a scale factor of 1/4

​centered at the origin?

A. (1, -2)
B. (2, -4)
C. (4, -8)
D. (8, -16)

Answer 1

The image of the point (4, -8) after dilation by a scale factor of 1/4 centered at the origin is (1, -2), which is answer choice A.

Step-by-step explanation:

The question asks for the image of a point (4, -8) after a dilation by a scale factor of 1/4 centered at the origin. When applying a scale factor to a point, you multiply each coordinate of the point by the scale factor. To find the new coordinates after the dilation, you would calculate as follows:

• Multiply the x-coordinate (4) by the scale factor (1/4): 4 * (1/4) = 1.
• Multiply the y-coordinate (-8) by the scale factor (1/4): -8 * (1/4) = -2.

Thus, the image of the point (4, -8) after the dilation is (1, -2), which corresponds to answer choice A.