What is the Correct General Expression for an Exponential Function?

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The discussion centers on identifying the correct general expression for an exponential function, with two options presented: y = abc(x+d)+e and y = abcx+d+e. Participants agree that both forms are acceptable, but the first option is favored for its clarity in showing horizontal shifts. The preference for the first expression is linked to its similarity to the structure of the sine function. Overall, the first expression is highlighted as more intuitive for modeling purposes.
Peter G.
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Hi,

I am working on a modeling exercise and I would like to know which is the correct general expression for a Exponential Function:

y = abc(x+d)+e

or

y = abcx+d+e

Thanks in advance,
Peter G.
 
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Peter G. said:
Hi,

I am working on a modeling exercise and I would like to know which is the correct general expression for a Exponential Function:

y = abc(x+d)+e

or

y = abcx+d+e

Thanks in advance,
Peter G.

Either would be fine, IMO, although the first makes horizontal shifts more obvious.
 
Hi,

Thanks a lot for your response! I also prefer the first one because it reminds me of how the Sine Function is set up, making, as you said, the horizontal shift more obvious for me.
 

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