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) = 5(43 - 4x) + 8
A. a) The graph of y = 4x is compressed horizontally by a factor of , reflected in the y-axis, shifted
unit to the right, stretched vertically by a factor of 5, and shifted eight units up.
b) (8, ?)
c) y = 8
B. a) The graph of y = 4x is compressed horizontally by a factor of , reflected in the x-axis, shifted
unit to the right, stretched vertically by a factor of 5, and shifted eight units up.
b) (-?, 8)
c) y = 8
C. a) The graph of y = 4x is compressed horizontally by a factor of , reflected in the y-axis, shifted
unit to the left, stretched vertically by a factor of 5, and shifted eight units down.
b) (-8, ?)
c) y = -8
D. a) The graph of y = 4x is compressed horizontally by a factor of , shifted
units to the right, stretched vertically by a factor of 5, and shifted eight units up.
b) (8, ?)
c) y = 8
Answer: A
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A.
B.
C.
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E.