Draw a dilation of the figure using the given scale factor k=2

Dilation is the action of making a diagram larger or smaller by multiplying by a scale factor.

We are given scale factor k = 2.

We have coordinates of the given triangle.

(0,0).

(4,0)

(0,-3).

Those coordinates are dilated by a factor of 2.

So, we need to multiply each coordinate by 2. We get

(0,0)

(2*4, 0) = (8,0)

(0,-3*2) = (0,-6).

So, the coordinates of dilated diagram are (0,0), (8,0) and (0,-6).