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 = 4x; g(x) = -2(45x + 1) - 3

A. a) The graph of y = 4x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 2, reflected in the x-axis, and shifted three units up.
b) (-?, 3)
c) y = 3
B. a) The graph of y = 4x is compressed horizontally by a factor of , shifted  unit to the left, stretched vertically by a factor of 2, reflected in the x-axis, and shifted three units down.
b) (-?, -3)
c) y = -3
C. a) The graph of y = 4x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 2, reflected in the y-axis, and shifted three units up.
b) (3, ?)
c) y = 3
D. a) The graph of y = 4x is compressed horizontally by a factor of , shifted  unit to the left, stretched vertically by a factor of 2, reflected in the y-axis, and shifted three units down.
b) (-3, ?)
c) y = -3


Answer: B

Mathematics

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