Start with the point A (3, 1). Translate the point 1 unit to the left and 4 units down. What are the new coordinates of the point A’? Now translate A’ 3 unit to the left and 2 units up. What are the new coordinates of the point A’’? What translation would need to be made in order for the result to be the original point A (3, 1)?

Question

quickstudent · Answer

@Will.H

quickstudent · Answer

@sprattfield

sprattfield · Answer

A'=(2,-3) A"=(-1,-1)
In order to get to the original point you would have to translate it 4 units to the right and 2 units up.

will.h · Answer

A(3,1) 1 left and 4 down so (x - 1 , y - 4) so A' (3 - 1 , 1 - 4) so A'(2,-3)

will.h · Answer

Now we will translate A' 3 left and 2 up so 
A'(2,-3) (x - 3 , y + 2) so A''(-1,-1)

now what translation need to be made to achieve the original point A(3,1)?

it is simple 4 unites right and 2 up so 
A''(-1,-1) --? (x + 4 , y + 2) --> A(3,1) 

hope that helps