Aabc has a coordinates of a(-6, -7), b(4, -2), and c(0, 7). find the coorddinates of its image after a dilation centered at the origin with a scale facotr of 2.a: a(–6, –7), b(4, –2), c(0, 7)b: a(–12, –14), b(8, –4), c(0, 14)c: a(–3, –3.5), b(2, –1), c(0, 3.5) a(–12, –7), b(8, –2), c(0, 7)

A dilation at the origin is simply a multiplication of the coordinates of the preimage by the scale factor.
From
A(-6, -7), B(4, -2), and C(0, 7)
we multiply by the scale factor of 2, the dilated coordinates are:

A'(-12, -14), B'(8, -4), and C'(0, 14).

From which you should have no problem locating the correct answer choice.