Question

translate (2, 4) to the right 1 unit. then reflect the result over the y - axis. what are the coordinates of the final point?

Explanation:

Step1: Translate the point

When translating a point \((x,y)\) to the right by \(1\) unit, we add \(1\) to the \(x\) - coordinate. For the point \((2,4)\), after translation, the new point is \((2 + 1,4)=(3,4)\).

Step2: Reflect the translated point 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 \((3,4)\), after reflection over the \(y\) - axis, the new point is \((-3,4)\).

Answer:

\((-3,4)\)