Question

PLEASE HELP I'M STUCK

Line Q is a vertical translation of line S 3 units down. P'' is the image of P' . What are the coordinates of P'' ?

Answer 1

The coordinates of P" is (m,n+e-3).

Explanation:

From the figure it is noticed that the line s is vertical transformation of line r, e units up. Then the x coordinates are same as in line r, but e units subtracted from y-coordinates.

If a graph vertically translated by m units up, then

`(x,y)\rightarrow (x,y+m)`

If a graph vertically translated by m units down, then

`(x,y)\rightarrow (x,y-m)`

Since the line Q is a vertical translation of line S, 3 units down, therefore x-coordinate remains same but 3 units are subtracted from y-coordinate.

`(x,y)\rightarrow (x,y-3)`

It is given that P" is the image of P' and P'(m,n+e).

`(m,n+e)\rightarrow (m,n+e-3)`

Therefore the coordinates of P" is (m,n+e-3).