Question

If a function f(x) is shifted to the left one unit, what function represents the transformation?

f(x+1)
f(x-1)
f(x)+1
f(x) -1

Answer 1

The answer is A : f(x+1)

Answer 2

So we want to know what transformation shifts the function f(x) one unit to the left. To know that lets take a look at the argument x. So when we add 1 unti to x it becomes x+1 and it is shifted to the right. When we add -1 to x it becomes x-1 and shifts to the left. So the answer is f(x-1).