Question

the point a is shown below.
reflect a across the y-axis.
then reflect the result across the x-axis.
plot the final point.
important: only plot the final point in your answer.

Explanation:

Step1: Find coordinates of A

From the graph, point A is at \((-5, -3)\) (since it's 5 units left on x - axis and 3 units down on y - axis).

Step2: Reflect across y - axis

The rule for reflection across the y - axis is \((x,y)\to(-x,y)\). So for \(A(-5,-3)\), after reflecting across y - axis, the point becomes \((5,-3)\).

Step3: Reflect across x - axis

The rule for reflection across the x - axis is \((x,y)\to(x,-y)\). For the point \((5,-3)\), after reflecting across x - axis, the y - coordinate changes sign. So the new point is \((5,3)\).

Answer:

The final point is \((5, 3)\) (to plot this point, move 5 units to the right on the x - axis and 3 units up on the y - axis).