Write a translation rule that maps point D(7,-3) onto point D'(2,5).
Please help 😖
The difference between the two points is the amount of translation, right? So,
D' - D = (2,5) - (7,-3) = (-5,8)
So, translate left 5 and up 8
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 separately.
Horizontal shift (x-coordinate):
To find the horizontal shift, subtract the x-coordinate of D' (2) from the x-coordinate of D (7):
Horizontal shift = 7 - 2 = 5
Vertical shift (y-coordinate):
To find the vertical shift, subtract the y-coordinate of D' (5) from the y-coordinate of D (-3):
Vertical shift = -3 - 5 = -8
Therefore, the translation rule that maps point D(7, -3) onto point D'(2, 5) can be expressed as:
(x, y) to (x + 5, y - 8)
To find the translation rule that maps point D(7,-3) onto point D'(2,5), you need to calculate the horizontal and vertical shifts needed to move from D to D'.
The horizontal shift (sometimes referred to as the "x-shift") can be found by subtracting the x-coordinate of point D' from the x-coordinate of point D:
Horizontal shift (x-shift) = x-coordinate of D' - x-coordinate of D
= 2 - 7
= -5
The vertical shift (sometimes referred to as the "y-shift") can be found by subtracting the y-coordinate of point D' from the y-coordinate of point D:
Vertical shift (y-shift) = y-coordinate of D' - y-coordinate of D
= 5 - (-3)
= 8
Therefore, the translation rule that maps point D(7,-3) onto point D'(2,5) is:
(x, y) --> (x - 5, y + 8)