Good evening fellow Mathforum friends I have a question,
can someone help me explain ways to predictably change the shape of the graph of f(x) without having to re-calculate the function ? any comments would be appreciated.
Thanks , -AC-
Good evening fellow Mathforum friends I have a question,
can someone help me explain ways to predictably change the shape of the graph of f(x) without having to re-calculate the function ? any comments would be appreciated.
Thanks , -AC-
Here are a few cases and I'll explain of g(x) differs from f(x):
g(x) = f(x-a)
f(x) is shifted to the right by a to get g(x)
g(x) = f(x+a)
f(x) is shifted to the left by a to get g(x)
g(x) = f(x) + a
f(x) is shifted up by a to get g(x)
g(x) = f(x) - a
f(x) is shifted down by a to get g(x)
g(x) = -f(x)
f(x) is flipped along the x-axis to get g(x)
I hope this helps and is what you wanted. This is all that can be said generally. If f(x) has a specific form (like a sine wave for example) then more things can be said.