Question

What is the image of

(
−
2
,
−
6
)
(−2,−6) after a dilation by a scale factor of
1
2
2
1
​
centered at the origin?

Answer 1

To find the image of a point after a dilation you can multiply the coordinates of the point by the scale factor.

Let's apply the dilation using a scale factor of 1/2 centered at the origin to the point (-2 -6).

The x-coordinate of the image is given by (-2) * (1/2) = -1.

The y-coordinate of the image is given by (-6) * (1/2) = -3.

Therefore the image of the point (-2 -6) after the dilation is (-1 -3).