Persamaan bayangan kurva y=x2-3x+2 yang direfleksikan terhadap sumbu x dilanjutkan dilatasi terhadap pusat o dengan faktir skala 3 adalah. terima kasih

jawab

y = x² - 3x+ 2

T1 = Rsumbu x
T2= D[O, 3]

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

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] \,= 3 \left[\begin{array}{ccc}1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] [/tex]

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] \,= 3 \left[\begin{array}{ccc}x\\-y\end{array}\right] [/tex]

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] \,= \left[\begin{array}{ccc}3x\\-3y\end{array}\right] [/tex]

[tex]x\,=\, \frac{1}{3} x'\,dan\, y\,=\,- \frac{1}{3}y'\,\, sub ke \,y\,=x^2-3x+2 [/tex]

(y) = (x)² - 3(x) + 2
-1/3 y' = 1/9 x² - x + 2 kalikan -3
y = - 1/3 x² + 3x - 6