Question

reflect $(-6, -3)$ across the $x$-axis. then reflect the result across the $x$-axis again. what are the coordinates of the final point?

Explanation:

Step1: Reflect across the x - axis first

When reflecting a point \((x,y)\) across the \(x\) - axis, the formula is \((x,-y)\).
For the point \((-6,-3)\), after the first reflection, we get \((-6,3)\) (because \(y=-3\) becomes \(y = 3\)).

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

Using the formula \((x,-y)\) for reflection across the \(x\) - axis.
For the point \((-6,3)\), after the second reflection, we get \((-6,-3)\) (because \(y = 3\) becomes \(y=-3\)).

Answer:

\((-6,-3)\)