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).