tentukan bayangan titik p (-4,7) yang direfleksikan terhadap sumbu Y dilanjutkan rotasi dengan pusat O (0,0) sebesar 180° mohon bantuannya, terimakasih

jawab

P(x,y)= ( - 4, 7)

T1 refleksi  terhadp sb y = [-1..0||0...-1]
T2 Rotasi [ O, 180°] = [-1...0||0...-1]

(x',y') = T2 o T1 [x,y]

[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}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]

[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}-4\\7\end{array}\right]\,=\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]