Question

reflect (5, 5) over the x - axis. then translate the result down 3 units. what are the coordinates of the final point?

Explanation:

Step1: Reflect over x - axis

When reflecting a point $(x,y)$ over the $x$-axis, the $x$-coordinate remains the same and the $y$-coordinate changes sign. Given the point $(5,5)$, after reflecting over the $x$-axis, the new point is $(5, - 5)$.

Step2: Translate down 3 units

To translate a point $(x,y)$ down 3 units, we subtract 3 from the $y$-coordinate. For the point $(5,-5)$, after translation, the $x$-coordinate stays $5$ and the $y$-coordinate is $-5 - 3=-8$. So the new point is $(5,-8)$.

Answer:

$(5,-8)$