Question

If RSTU is translated by the rule (x,y)→(x+2,y−10), in which quadrant will the image R'S'T'U' be located?

Answer 1

The image R'S'T'U' will be located in the same quadrant as RSTU.

Step-by-step explanation:

Given the translation rule (x,y)→(x+2,y−10), we can determine the new coordinates of the image R'S'T'U' by adding 2 to the x-coordinate of each point and subtracting 10 from the y-coordinate of each point of RSTU.

For example, if R = (xR, yR), then R' will have coordinates (xR+2, yR-10).

Since we are only shifting the coordinates of RSTU, the image R'S'T'U' will be located in the same quadrant as RSTU.