Question

reflect (3, 1) over the y - axis. then translate the result to the right 3 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 \((3,1)\), after reflection over the \(y\) - axis, we get \((- 3,1)\).

Step2: Translate to the right 3 units

When translating a point \((x,y)\) to the right \(a\) units, the rule is \((x,y)\to(x + a,y)\).
Here \(a = 3\) and the point is \((-3,1)\). So \((-3+3,1)=(0,1)\)

Answer:

\((0,1)\)