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Answer:

The coordinates of the image point will be (-2,-4).

Step-by-step explanation:

The reflection of the point (2,-4) over the y-axis is to be determined.

Now, as the reflecting mirror is the y-axis, then the y-coordinate of the reflecting point will not change.

So, the image point will have coordinates (h,-4).

Now, after the reflection over the y-axis, the x-coordinate of the image point will change the sign only compared to the original point.

Therefore, the coordinates of the image point will be (-2,-4). (Answer)

The image when (2, -4) is reflected over the y-axis is (-2, -4)

The rule for reflection over the y-axis is:

(x, y) >>>> (-x,  y)

This means that the point on the x-axis will be negated but the point on the y-axis will remain the same

If a point (2,  -4) is reflected over the y-axis:

This means that, x = 2, y = -4

-x  =  -2

Therefore, the image when (2, -4) is reflected over the y-axis is (-2, -4)

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