ABCD reflects over [tex]X-[/tex] axis.
Then translated to [tex](x+[6],y+[-1])[/tex].
A single or multiple changes in a geometrical shape or figure is called Geometrical Transformation.
A geometrical transformation in which a geometrical figure changes his position to his mirror image about some point or line or axis is called Reflection.
We can see in the given figure that ABCD becomes EHGF after reflecting over [tex]X-[/tex] axis.
So now A became the point E.
We can see in the figure that the coordinates of A were [tex](-5,2)[/tex]
And now the coordinates of E are [tex](1,1)[/tex]
So, [tex](-5+[6],2+[-1])=(1,1)[/tex]
Hence the transformation is [tex](x+[6],y+[-1])[/tex].
Learn more about Geometric Transformation here -
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