Question

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)

Answer 1

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.