(-4 0) dilated by a scale factor of 1/4 on a graph

Answer 1

A dilation is a transformation in which a figure is made larger or smaller. The original figure and the dilation are similar which means the ratio of the sides lengths are proportional. To dilate a figure with respect to the origin, you need to multiply the coordinates by the scale factor. If the scale factor is less than 1 but greater than 0, the dilation is a reduction. If the scale factor is greater than 1, the dilation is an enlargement.

If the point is (-4,0) and the scale factor is 1/4 then we multiply the x coordinate and the y coordinate by 1/4.

-4 * 1/4 = -1

0 * 1/4 = 0

The answer is (-1,0).

Answer 2

Dilation of a point just means we are changing its location on a coordinate plane. Typically dilations are performed on a point on a geometric shape. In your case we are simply dilating a single point. This means to multiply the point by the dilation factor.

Dk(x, y)=(kx, ky)

Your point is (-4,0) by a scale factor of 1/4.

1/4 × -4 = -1

1/4 × 0 = 0

(-1, 0)

Hope this helps! Dilations get trickier when more points are included :)

Answer 3

(-1,0)

(1/4)(-4,0) =(-4/4,0/4) = (-1,0)