What type of function is #y=2^x+8#?

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Answer 1 · 2017-12-22T03:56:27

#y# is an exponential function.

#y=2^x+8#

#y# is the standard exponential function #f(x) =2^x# transformed ("shifted") 8 units positive ("up") on the #y-#axis

The graphs of standard #f(x) and y# are shown below.

#f(x) = 2^x#

graph{2^x [-20.27, 20.28, -10.13, 10.14]}

#y = 2^x+8#

graph{2^x+8 [-32.47, 32.48, -16.24, 16.22]}