Apply the dilation d to the polygon with the given vertices. name the coordinates of the image points. identify and describe the transformation.
d: (x, y) → (4x,4y)
a (2,1) b (4,1) c (4,-3)

a. this is a dilation about (0, 0) with a scale factor of 0.25; a’(8, 4), b’(16, 4), c’(16, –12).

b. this is a dilation about (0, 0) with a scale factor of 4; a’(8, 4), b’(16, 4), c’(16, –12).

c. this is a dilation about (0, 0) with a scale factor of 0.25; a’(0.5, 0.25), b’(1, 0.25), c’(1, –0.75).

d. this is a dilation about (0, 0) with a scale factor of 4; a’(0.5, 0.25), b’(1, 0.25), c’(1, –0.75).