Question

reflect (3, -2) over the y-axis. then translate the result to the left 1 unit. what are the coordinates of the final point?

Explanation:

Step1: Reflect over y-axis

When reflecting a point $(x,y)$ over the y-axis, the transformation is $(x,y)\to(-x,y)$.
For $(3,-2)$, this gives $(-3,-2)$.

Step2: Translate left 1 unit

Translating a point $(x,y)$ left 1 unit uses the transformation $(x,y)\to(x-1,y)$.
For $(-3,-2)$, this gives $(-3-1,-2)=(-4,-2)$.

Answer:

$(-4, -2)$