Question

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

Answer 1

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)