# A triangle has corners at #(4, 6 )#, ( 1 , -3)#, and #( 1 , -4)#. What will the new coordinates of the triangle be if it is reflected across the x-axis?

(4,-6), (1,3), and (1,4).

When reflected across the x-axis, each of the y-coordinates changes sign. That is, a point (a,b) means it is at x=a and y=b, since the reflection is made across the x-axis, the x-coordinate stays the same. However, y=b means the point is b units away from the x-axis, so with reflection it is again b units away from the x-axis, but on the other side, so the sign changes.

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The new coordinates of the triangle after being reflected across the x-axis would be:

(4, -6), (1, 3), and (1, 4).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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