How do you use the graph of #f(x)=-2^x# to describe the transformation of #g(x)=5-2^x#?

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Answer 1 · 2017-04-24T20:04:38

Note that:

#g(x)=5-2^x=(-2^x)+5=f(x)+5#

So the graph of #g(x)# is identical to the graph of #f(x)#, but #5# greater.

Take #f(x)#:

graph{-2^x [-14.24, 14.24, -7.12, 7.12]}

And shift the graph up #5# units:

graph{5-2^x [-16.01, 16.04, -8.01, 8.01]}