SOLUTION
From this question, it means that
[tex]\begin{gathered} y=\sin x\text{ was translated to} \\ y=4\sin x \end{gathered}[/tex]To be sure the required translation, let us see a quick look at the graph of the function and it's image
[tex]y=\sin x[/tex]And
[tex]y=4\sin x[/tex]Now, we can see that the image is an enlarged form of the original function
Therefore this is a dilation. And since the increase in size is vertical, that is across the y-axis, It is a Vertical dilation.
Hence the correct answer is Vertical dilation.