If the vertex of image Q’ is located at the coordinates (16,8) was dilated by the scale factor of 2, what was the coordinates for the pre-image Q?

The pre-image Q is .

Explanation:

From Linear Algebra, we can define dilation by the following expression:

(1)

Where:

- Reference point, dimensionless.

- Original point, dimensionless.

- Dilated point, dimensionless.

- Dilation factor, dimensionless.

If we know that , and , then the original point is:

The pre-image Q is .