Write a translation rule that maps point D(7, −3) onto point D'(2, 5)
I need major help, please???
x' - x = 2 - 7 = - 5
y' - y = 5 - ( - 3 ) = 5 + 3 = 8
( x , y ) -->( x - 5 , y + 8 )
i don't understand
Let's look at the x-coordinates, paying attention to signs:
xD = 7 at the start point, xD' = 2 at translated point.
Relation is needed to operate on 7 to get 2 is:
You must subtract 5
Let's look at the y-coordinates, paying attention to the sign:
yD = - 3 at the start point, yD' = 5 at translated point.
Relation is needed to operate on -3 to get 5 is:
You must add 8
Now take both equation and rewrite as an ordered pair:
( x - 5, y + 8 )...applicable only to all points in a figure "sliding" same direction.
Do you understand now?
To find the translation rule that maps point D(7, -3) onto point D'(2, 5), we need to determine the horizontal and vertical shifts.
The horizontal shift is the difference between the x-coordinates of D' and D:
Δx = x-coordinate of D' - x-coordinate of D = 2 - 7 = -5
The vertical shift is the difference between the y-coordinates of D' and D:
Δy = y-coordinate of D' - y-coordinate of D = 5 - (-3) = 8
Therefore, the translation rule can be written as:
(x, y) → (x - 5, y + 8)
Applying this translation rule to point D(7, -3), we get:
D' = (7 - 5, -3 + 8) = (2, 5)
So, the translation rule that maps point D(7, -3) onto point D'(2, 5) is (x, y) → (x - 5, y + 8).