|
rotation Pre Image An operation that maps (moves) a preimage to an image is a transformation. This transformation is a: reflection translation Image Pre Image ? This is a tranSLation (SLide) to the right. The NEW figure is the image. Image ? This is a tranSLation (SLide) to the left. The NEW figure is the image. Image ? Pre Image ? If the preimage has point A A The image has corresponding (matching) point A' B C A' B' ? C' ? If the preimage has point A, the image has point A'. A' is read as "A prime" A PREIMAGE ? B C A' IMAGE ? B' C' If the has point A, the image has point A'. A' is read as "A " preimage preimage C ? prime A B image C' A' ? B' ? 2 -2 4 -4 2 -2 4 -4 6 -6 A C B C' A' B' Coordinate notation shows this translation (x,y)→(x+2, y-5) This means the preimage moves 2 units right and 5 units down to form the image 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A' (7,5) A (9,-2) B' C' C B 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x-2, y+7) Subtract 2 from the original x value move 7 units up Which coordinate notation is shown? Add 7 to the original y value move 2 units left A' (7,5) A (9,-2) B' C' C B 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A A' B C B' C' 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A A' C B B' C' 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 (x,y)→(x+2, y-7) (x,y)→(x-2, y+7) (x,y)→(x-2, y-7) (x,y)→(x+2, y+7) Which coordinate notation is shown? A' A C' B' B C RECAP The process of mapping (moving) a preimage onto an image is called a: preimage transformation prime coordinate notation # units to the (x,y)→(x+4,y-3) This coordinate notation shows a translation left or right and units # up or down # units to the (x,y)→(x-2, y+7) This coordinate notation shows a translation left or right and units # up or down Final Question............. Use the coordinate notation to find the coordinates of the image. (Let x=5 and y=1 and solve) (5,1)→( -2, +7) (5,1)→( , ) (x,y)→(x-2, y+7) Preimage 5 ? Image 1 ? The End |