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

I thought the answer would be D, but I'm doubting myself! Please Help!

Answer 1

horizontal shifts are always achieved inside the brackets of the variable

Answer 2

So, it would be A?

Answer 3

By the way i gave guidance - we are supposed to help in solving. Only in hopeless state to solve completely

Answer 4

horizontal shifts are
(x+1) -2
Left one down 2
notice it does the opposite to what is in teh parathesis

Answer 5

opposite in your mind.. but the right way on a graph

Answer 6

Hint: what action with your watch causes constantly occuring events to occur at "earlier" hour

Answer 7

Namesless: +1 goes right on the graph to graph it, but goes opposite when part of a function

Answer 8

when you horizontally shift a graph to the left the coordinates that change are the x coordinates

Answer 9

I realize that. the right on the graph is an increase in the value of the function. I was simply telling the user that it appears to reverse in your head, but if you look at the graph of it, it makes logical sense as it increases the value of the function.

Answer 10

f(x+a) means that the value you will get at x in the new function, will be the same value you will get at the old function at x+a. That's the way to think about it.

Answer 11

Or if you prefer memorization over logical thinking... Then it's just the opposite of a :)

Answer 12

xcrypt: Thank you for your help! Much easier to understand it !!!

Answer 13

No problem. Glad I could help!