Respuesta :
Answer:
D. (-3, 2)
Step-by-step explanation:
The original point is (3, -2)
The rule for reflecting across the x-axis is (x, y) -> (x, -y)
(3, -2) -> (3, 2)
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
(3, 2) -> (-3, 2)
We want to find the image of the point (3, -2) after two reflections.
The correct option is D: (-3, 2)
Now let's see how to solve this.
The first thing we need to do is describe the two reflections.
For a general point (x, y), a reflection across the x-axis will give the point (x, -y).
And a reflection across the y-axis will give the point (-x, y).
So, if we start with the point (3, -2).
Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)
Now we have a reflection across the y-axis, it gives the point (-3, 2)
So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.
If you want to learn more, you can read:
https://brainly.com/question/25095797