Answer:
The rule of the translation will be:
(x, y) → (x+3, y+5)
Explanation:
Translation of an object is basically termed as "sliding" the original. If the image is moved right by the 'c' units, the 'c' unit(s) are added to the x-coordinate and if the image is moved left by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.
And If the image is moved up by the 'c' units, the 'c' unit(s) are added to the y-coordinate and if the image is moved down by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.
As the point is (4, 2)
The image of the point is (7, 7)
As the coordinates of the image point indicate that 3 units are added to the x-coordinate of the original point, and 5 units are added to the ý-coordinate.
Hence, the image will be move 3 units to the right and 5 units up.
Therefore, the rule of the translation will be:
(x, y) → (x+3, y+5)
as
(4, 2) → (x+3, y+5) = (4+3, 2+5) = (7, 7)