Given the coordinates:
A(-2, 4), B(4, -1), C(-1, -2)
Scale factor, K = 3
A dilation ia a form of transformation that changes the size of a figure, but the shape remains the same.
To dilate the figure, multiply the coordinates by the scale factor to get the new corrdinates.
Thus, we have:
A(-2, 4) ==> (-2 x 3, 4 x 3) ==> (-6, 12)
B(4, -1) ==> (4 x 3, -1 x 3) ==> (12, -3)
C(-1, -2) ==> (-1 x 3, -2 x 3) ==> (-3, -6)
Therefore, the new coordinates after a dilation with a scale factor of 3 is:
A'(-6, 12)
B'(12, -3)
C(-3, -6)
ANSWER:
A'(-6, 12)
B'(12, -3)