Question 265533
how do you graph: 
f(x)= (1/2)^(x-4) 
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f(x) = (1/2)^x is a decreasing function that (0,1)
and has horizontal asymptote y = 0.
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and also find the transformations?
The (x-4) exponent shifts the previous graph
4 units to the right so it passes thru (4,1)
and still has y = 0 as its horizontal asymptote.
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{{{graph(400,300,-5,20,-5,5,(1/2)^x, (1/2)^(x-4))}}}
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Cheers,
Stan H.