Question

translate (-4, 5) up 3 units. then reflect the result over the x - axis. what are the coordinates of the final point?

Explanation:

Step1: Translate the point up

To translate a point $(x,y)$ up by $3$ units, we add $3$ to the $y$-coordinate. Given the point $(-4,5)$, after translation, the new point is $(-4,5 + 3)=(-4,8)$.

Step2: Reflect over the x - axis

To reflect a point $(x,y)$ over the $x$-axis, we change the sign of the $y$-coordinate. For the point $(-4,8)$, after reflection over the $x$-axis, the new point is $(-4,- 8)$.

Answer:

$(-4,-8)$