Question

reflect (-9, -4) 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 y - axis first

When reflecting a point \((x,y)\) across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\). For the point \((-9,-4)\), after the first reflection across the \(y\) - axis, we get \((-(-9),-4)=(9,-4)\).

Step2: Reflect the new point across y - axis again

Using the same reflection rule \((x,y)\to(-x,y)\) on the point \((9,-4)\). We have \((-9,-4)\)

Answer:

\((-9,-4)\)