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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