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If a unit circle with center at (−3, 4) is reflected across the x-axis, where will the center of the reflected image lie? it is supposed to be a ( , ) answer.

Sagot :

Mhanifaidn

Answer:

  • (-3 , - 4) is a new center

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This is a reflection of a point across the x-axis.

The rule for such reflections is:

  • (x, y) → (x, - y)

Apply the rule to the given point to get:

  • (-3, 4) → (-3 , - 4)
Facundo3141592idn

By using the general formula for a reflection across the x-axis, we will see that the new coordinates of the center are (-3, -4)

Where will be the center of the new circle?

For any point (x, y), if we perform a reflection across the x-axis, the only thing we are doing is changing the sign of the y-component.

So the reflection is:

(x, y) → (x, -y)

In this case, we are reflection a circle whose center is (-3, 4), so the new coordinates of the center of the circle are:

(-3, 4) → (-3, -4)

The center of the reflected circle is at (-3, -4)

Laern more about reflections:

https://brainly.com/question/4289712

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