given the following:
A(0, 2)
B(3, -2)
C(-1, -4)
we are asked to find the new coordinates with a scale factor of 10
in other to get new coordinates, we will have to multiply the given coordinates by the dilation factor.
This implies that you multiply all the coordinates by the dilation factor, which you are increasing all the distance from the origin by the scale factor.
10(0, 2) --------> (0, 20)
10(3, -2) --------> (30, -20)
10(-1, -4) ---------> (-10, -40)
so the new coordinates are:
A' (0, 20)
B' (30, -20)
C' (-10, -40)