What is (2,2) translated 3 units up and 2 units right ?

1 Answer
NJ
Apr 9, 2018

#(4,5)#

Explanation:

#(2,2)# is of the 2d Cartesian format #(x,y)#. #x# is the horizontal component and #y# is the vertical component.

If we move up #3# units, then we need to move up #3# units in the vertical direction, which is associated with #y#. So we will add #3# to the #y#-component of our point (if we wanted to move down, we would subtract instead).

#=>(2,2+3) = (2,5)#

Now, we also want to move #2# units to the right, so we will add #2# to our #x#-component (if we wanted to move to the left, we would subtract instead).

#=>(2+2,5) = (4,5)#

The translated point is #(4,5)#.

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