Question

What is the image of left bracket, minus, 9, comma, minus, 12, right bracket(−9,−12) after a dilation by a scale factor of 1/3 centered at the origin?

Answer 1

After dilating the point (-9,-12) by a scale factor of 1/3, the image of the point is (-3, -4).

The student asked for the image of the point (-9,-12) after a dilation with a scale factor of 1/3 centered at the origin in a mathematics context. To find the image of the point after dilation, multiply each coordinate by the scale factor. Since the scale factor is 1/3, the image of the point (-9,-12) after dilation is calculated as follows:

1. Multiply the x-coordinate by 1/3: -9 × 1/3 = -3.
2. Multiply the y-coordinate by 1/3: -12 × 1/3 = -4.

Therefore, the image of the point (-9,-12) after the dilation by a scale factor of 1/3 is (-3, -4).