Find the coordinates of P', the image of point P after a dilation with center (0, 0) and a scale factor of 0.​

We know that the coordinates image of point (x,y) after dilation with center (0, 0) and scale factor k will become:-

(kx,ky)(kx,ky)

From the given figure, the coordinates of point P =(0,3)

Then , the coordinates of the image of P for a dilation with center (0, 0) and scale factor 2 will be :-

(2\times0,2\times3)=(0,6)(2×0,2×3)=(0,6)

Hence, the coordinates of the image of P for a dilation with center (0, 0) and scale factor 2 is (0,6).

A scale factor of 0 won’t change the image at all. All the points would remain where they are now.

P’ would be (3,-4)