121k views
3 votes
(−4,−8) after a dilation by a scale factor of 1/4 centered at the origin?

User Woootiness
by
8.1k points

1 Answer

6 votes

Answer:

Dilated point coordinates: (-1, -2)

Explanation:

For a point (x, y), the dilation of the point by a scale factor of k centered around the origin will result in a point (x', y') where x' = kx and y' = ky

Depending on the value of k, the point will move either closer to the origin(k < 1) or farther away from the origin (k > 1)

Here we have the original point A(-4, -8) and k =
(1)/(4)

So the new point will move closer to the origin

The coordinates of the new point A' will be


x' = 4\cdot (1)/(4) = -1\\\\y' = -8\cdot (1)/(4) = -2\\

So the dilated point A' will have coordinates (-1, -2)

User Jcburns
by
8.5k points

No related questions found