Point A(9,-6) is translated using the rule (x+3, y-7) then it is reflected across the x-axis. What are the coordinates of its final image?

The coordinates of its final image are .

Step-by-step explanation:

From Linear Algebra, we define reflection across the x-axis as:

,

According to the statement of problem, the following operation of translation:

,

Where:

- Original point, dimensionless.

- Translated point, dimensionless.

If we know that , we proceed to make the abovementioned operations:

Translation

Reflection

The coordinates of its final image are .