Question

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

Explanation:

Step1: Reflect over the y - axis

When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
For the point \((-3,3)\), after reflection over the \(y\) - axis, we get \((-(-3),3)=(3,3)\).

Step2: Translate to the left 2 units

When translating a point \((x,y)\) to the left by \(a\) units, the rule is \((x,y)\to(x - a,y)\).
Here \(a = 2\), so for the point \((3,3)\), after translation to the left 2 units, we get \((3-2,3)=(1,3)\).

Answer:

\((1,3)\)