The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Step-by-step explanation:
Given
Dilation: D : (x,y) => (4x,4y)
And Vertices
A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )
Applying dilation on all vertices

To find the scale factor,
As we are multiplying each vertex coordinate by 4, the dilation factor is 4.
Moreover,

Hence the scale factor is 4.
So,
The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Keywords: Dilation, Scale factor
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