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) = -5e2x - 1 - 8
A. a) The graph of y = ex 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 down eight units.
b) (-?, -8)
c) y = -8
B. a) The graph of y = ex is compressed horizontally by a factor of , shifted
unit to the left, stretched vertically by a factor of -5, and shifted down eight units.
b) (-8, ?)
c) y = -8
C. a) The graph of y = ex 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 up eight units.
b) (-?, 8)
c) y = 8
D. a) The graph of y = ex 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 down eight units.
b) (-?, -8)
c) y = -8
Answer: A
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