Question

reflect (4, 9) across the y - axis. then reflect the result across the x - axis. what are the coordinates of the final point?

Explanation:

Step1: Reflect across y - axis

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

Step2: Reflect across x - axis

When reflecting a point \((x,y)\) across the \(x\) - axis, the rule is \((x,y)\to(x, - y)\). Now we take the point \((-4,9)\) and reflect it across the \(x\) - axis. Applying the rule, we get \((-4,-9)\).

Answer:

\((-4,-9)\)