the point a is shown below. reflect a across the y - axis. then reflect the result across the x - axis. plot…

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.

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.

Answer

Explanation:

Step1: Find coordinates of point A

The coordinates of point A are $(4,0)$.

Step2: Reflect across y - axis

The rule for reflecting a point $(x,y)$ across the y - axis is $(-x,y)$. So, reflecting $(4,0)$ across the y - axis gives $(-4,0)$.

Step3: Reflect across x - axis

The rule for reflecting a point $(x,y)$ across the x - axis is $(x, - y)$. Reflecting $(-4,0)$ across the x - axis gives $(-4,0)$ (since $-0 = 0$).

Answer:

The final point is $(-4,0)$