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Answer :

A reflection over the y-axis can be done in a given point by simply changing the sign of the x-coordinate of the point. This will get the point to the exact place that is equal distance from the y-axis.

So, for A, it was at coordinate:

[tex]A=(-4,2)[/tex]

So, we change the sign of the x-coordinate to get A':

[tex]\begin{gathered} A^{\prime}=(-(-4),2) \\ A^{\prime}=(4,2) \end{gathered}[/tex]

Which is alternative D.