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Horizontal stretches/compression?

For horizontal compressions, I know you do it if x is greater than 1, but do you divide or multiply the x value by the c value? Why would it be a vertical compression of c?
 
So if you had f(x)=2x, what would you do with the 2 and the x values?
 
For horizontal stretches (0<x<1), I basically have the same question. What would you do as far as the c and the x values? Why would it be a vertical compression by c?
 
So if you had f(x)=1/2x, what would you do with the 1/2 and the x values?
 
Basically, if you could explain the first answer given and why that would work, that'd be great. Thank you!
 
 
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1 Answer

In general, for f(x) = cx, (c > 1), you can treat it either as horizontal compression by a factor of c, or as vertical stretch by a factor of c.
 
 If c < 1, then you treat it as horizontal stretch by a factor of c, or vertical compression by a factor of c.