bayangan parabola y=x^2-2x oleh transdormasi T:(x,y)-> (x+1 , y-2) adalah...

Trasformasi translasi

(x,y) + (x+1),(y-2) = (x', y')

2x + 1 = x' --> x = 1/2 ( x' - 1)
2y - 2 = y' --> y = 1/2 (y' + 2)
substusikan ke  [y = x²- 2x]--> y = x[x -2]

1/2 (y' +2) = 1/2 (x' -1){1/2(x' -1) -2} ...kalikan 2
y' + 2 = (x' -1){ 1/2 x' - 1/2 - 2}
y + 2 = (x -1)(1/2x - 5/2)
y + 2 =(x-1) (1/2)(x -5)
2y + 4 = (x+1)(x-5)
2y = x² - 4x - 5 - 4
y = 1/2 (x² - 4x - 9)
y = 1/2 x² - 2x - 9/2