A two-column proof contains a table with a logical series
of statements and reasons that reach a conclusion. It is commonly present
in geometry. Two column proofs always have two columns: statements and reasons.
The other choices don’t fit in the definition of two column proof.
Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:
