A point (3, –2) is reflected across the x-axis followed by a reflection across the y-axis. Find the image of the point after the described transformations. answers: A) (3, –2) B) (3, 2) C) (–3, –2) D) (–3, 2)

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allyv27 allyv27 · Answer 1 · 2020-06-23T21:17:34+02:00

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)

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facundo3141592 facundo3141592 · Answer 2 · 2021-11-09T13:04:48+01:00

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.

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