the point a is shown below.\nreflect a across the y-axis.\nthen reflect the result across the x-axis.\nplot…
the point a is shown below.\nreflect a across the y-axis.\nthen reflect the result across the x-axis.\nplot the final point.\nimportant: only plot the final point in your answer.
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).