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 = 5x; g(x) = -5(54x + 1) - 2

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


Answer: C

Mathematics

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