Write a translation rule that maps point D(7, –3) onto point D'(2, 5).
Not sure how to do this???
(x,y) --> (x-5,y+8)
Thank you Steve
Can you explain that?
To map point D(7, -3) onto point D'(2, 5), we need to determine the translation rule.
A translation involves shifting a point a certain distance horizontally and vertically to a new position.
To find the horizontal shift, we subtract the x-coordinate of the original point (D) from the x-coordinate of the image point (D'). In this case, we have:
Horizontal shift = x-coordinate of D' - x-coordinate of D = 2 - 7 = -5
To find the vertical shift, we subtract the y-coordinate of the original point (D) from the y-coordinate of the image point (D'). In this case, we have:
Vertical shift = y-coordinate of D' - y-coordinate of D = 5 - (-3) = 8
Therefore, the translation rule to map point D(7, -3) onto point D'(2, 5) is:
(x, y) --> (x - 5, y + 8)
This means that for any point (x, y), if we subtract 5 from the x-coordinate and add 8 to the y-coordinate, we will obtain the image point after the translation.