Start with the graph of y = ex. a) Describe a sequence of transformations that results in the graph of y = f(x); b) Find the range of f(x); c) Find the horizontal asymptote of the graph of f.f(x) = e3x - 3

A. a) The graph of y = e^x is compressed horizontally by a factor of 3 and shifted down three units.
b) (-3, ?)
c) y = -3
B. a) The graph of y = e^x is stretched horizontally by a factor of  and shifted up three units.
b) (3, ?)
c) y = 3
C. a) The graph of y = e^x is compressed horizontally by a factor of  and shifted down three units.
b) (-3, ?)
c) y = -3
D. a) The graph of y = e^x is compressed vertically by a factor of  and shifted down three units.
b) (-3, ?)
c) y = -3

Answer: C

Mathematics

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