Did you know?
Did you know that a translation is a type of transformation that moves every point of a shape a certain distance in a given direction? In this case, the translation maps the point R(-5, -5) to (-4, 2). To find the translation rule, we need to determine the horizontal and vertical shifts.
The horizontal shift can be found by subtracting the x-coordinate of R from the x-coordinate of the image point. So, -4 - (-5) = 1. Therefore, there is a horizontal shift of +1.
The vertical shift can be found by subtracting the y-coordinate of R from the y-coordinate of the image point. So, 2 - (-5) = 7. Therefore, there is a vertical shift of +7.
Putting it all together, the translation rule is (x, y) -> (x+1, y+7).
Now, let's find the image of U(-5, 1). Applying the translation rule, the image point of U would be (-5+1, 1+7), which simplifies to (-4, 8).
So, the image of U after the translation is the point (-4, 8).
