Question

what is the image point of $(0, - 9)$ after a translation right 5 units and down 1 unit?

Explanation:

Step1: Translate the x - coordinate

For a translation right \(5\) units, add \(5\) to the x - coordinate.
The original x - coordinate is \(0\). So, \(0 + 5=5\).

Step2: Translate the y - coordinate

For a translation down \(1\) unit, subtract \(1\) from the y - coordinate.
The original y - coordinate is \(-9\). So, \(-9-1=-10\).

Answer:

\((5,-10)\)