Question

reflect (4, 8) across the y - axis. then reflect the result across the y - axis again. what are the coordinates of the final point?

Explanation:

Step1: Reflect across the y - axis

When reflecting a point \((x,y)\) across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\). For the point \((4,8)\), after the first reflection across the \(y\) - axis, we get \((- 4,8)\).

Step2: Reflect the new - found point across the y - axis again

Using the same rule \((x,y)\to(-x,y)\). Now, for the point \((-4,8)\), substituting \(x=-4\) into the rule \((x,y)\to(-x,y)\), we have \((-(-4),8)=(4,8)\).

Answer:

\((4,8)\)