Graph the image of ΔSTU after a dilation with a scale factor of 2, centered at the origin.

To dilate a triangle centered at the origin with a scale factor of 2, you multiply each coordinate of the vertices by the scale factor.

For ΔSTU with vertices:

– T(4, 6)

– S(-2, 4)

– U(-4, -2)

We apply the dilation:

– T: (4 * 2, 6 * 2) = (8, 12)

– S: (-2 * 2, 4 * 2) = (-4, 8)

– U: (-4 * 2, -2 * 2) = (-8, -4)

So the vertices after dilation become:

– T(8, 12)

– S(-4, 8)

– U(-8, -4)

This corresponds to option B) T(8, 12), S(-4, 8), U(-8, -4).

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