Start with the given graph of y.  a) Describe a sequence of transformations that results in the graph of g(x);  b) Find the range of g(x);  c) Find the horizontal asymptote of the graph of g(x).y = 3x; g(x) = 5(32x - 1) + 5

A. a) The graph of y = 3x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 5, and shifted five units up.
b) (5, ?)
c) y = 5
B. a) The graph of y = 3x is compressed horizontally by a factor of 2, shifted  unit to the right, stretched vertically by a factor of 5, and shifted five units down.
b) (-5, ?)
c) y = -5
C. a) The graph of y = 3x is compressed horizontally by a factor of , shifted  unit to the left, stretched vertically by a factor of 5, and shifted five units up.
b) (5, ?)
c) y = 5
D. a) The graph of y = 3x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 5, and shifted five units down.
b) (-5, ?)
c) y = -5


Answer: A

Mathematics

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