Bayangan titik C(2,-3) oleh dilatasi terhadap titik pusat O(0,0) dan faktor skala -2, kemudian dilanjutkan dengan pencerminan terhadap garis x=2 adalah... Selec

Dilatasi oleh titik pusat O (0,0), faktor skala = k = -2
[tex] \left[\begin{array}{ccc}x'\\y'\end{array}\right] = k\left[\begin{array}{ccc}x\\y\end{array}\right] = -2\left[\begin{array}{ccc}2\\-3\end{array}\right] = \left[\begin{array}{ccc}-4\\6\end{array}\right] [/tex]

Pencerminan terhadap garis x = 2
[tex] \left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}2a\\0\end{array}\right] \\ \\ \left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right] \left[\begin{array}{ccc}-4\\6\end{array}\right] + \left[\begin{array}{ccc}2(2)\\0\end{array}\right][/tex]
[tex] \left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}4\\6\end{array}\right] + \left[\begin{array}{ccc}4\\0\end{array}\right] = \left[\begin{array}{ccc}8\\6\end{array}\right] [/tex]

Jadi bayangan c adalah c'(8,6)