If we have a point of [tex] \left[\begin{array}{ccc}a\\b\end{array}\right] [/tex] and it's reflected by the line x = h,
you'll have the reflection point of [tex] \left[\begin{array}{ccc}2h-a\\b\end{array}\right] [/tex]
From the question above, we conclude that
⇒ the point we have
[tex]\left[\begin{array}{ccc}a\\b\end{array}\right] = \left[\begin{array}{ccc}3\\4\end{array}\right][/tex]
⇒ reflected by
x = 1
The reflection point will be
[tex] \left[\begin{array}{ccc}2h-a\\b\end{array}\right][/tex]
[tex]=\left[\begin{array}{ccc}2(1)-3\\4\end{array}\right][/tex]
[tex]=\left[\begin{array}{ccc}2-3\\4\end{array}\right][/tex]
[tex]=\left[\begin{array}{ccc}-1\\4\end{array}\right][/tex]
The reflection point is (-1,4)
