SOLUTION: I have a question that states: use the graph of f(x)=/x/ to find the graph of f(x)=/x-3/-2 Can anyone help me with this? It's due tonight and I have been working on it for the

Question 86030: I have a question that states: use the graph of f(x)=/x/ to find the graph of f(x)=/x-3/-2 Can anyone help me with this? It's due tonight and I have been working on it for the past 2 hours.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you want to shift any function, here is the general rule:

where a represents the units shifted horizontally and k represents the units shifted veritcally

note: notice the negative "a". If you have , it means shift 3 units in the positive direction. If you have , it means shift 3 units in the negative direction. So just remember that the negative is telling you to shift in the opposite direction.

Start with the given function
Replace x with to shift the graph 3 units to the right

Here is the graph
graph of the original equation (red) and the shifted equation (green)
Now subtract 2 from the whole equation to shift the graph down 2 units

Here is the graph

graph of the original equation (red) and the shifted equation (green)

So in short, to shift the graph 3 units to the right and shift the graph 2 units down,you simply use this composite function:

where is your new function
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