Question

translate (1, 5) up 2 units. then reflect the result over the y - axis. what are the coordinates of the final point?

Explanation:

Step1: Translate point up 2 units

For a point $(x,y)$, moving up 2 units gives $(x, y+2)$.
For $(1,5)$: $(1, 5+2)=(1,7)$

Step2: Reflect over y-axis

For a point $(x,y)$, reflecting over y-axis gives $(-x,y)$.
For $(1,7)$: $(-1,7)$

Answer:

$(-1, 7)$