The graph of the parent function f (x) = x3 is transformed such that g (x) = f (-2x). How does the graph of g (x) compare to the graph of f (x) ? g (x) is stretched horizontally and reflected over the y-axis. g (x) is stretched horizontally and reflected over the x-axis. g (x) is compressed horizontally and reflected over the y-axis. g (x) is compressed horizontally and reflected over the x-axis.

Question

Maddison Cook

Mathematics

26 September, 14:48

The graph of the parent function f (x) = x3 is transformed such that g (x) = f (-2x). How does the graph of g (x) compare to the graph of f (x) ? g (x) is stretched horizontally and reflected over the y-axis. g (x) is stretched horizontally and reflected over the x-axis. g (x) is compressed horizontally and reflected over the y-axis. g (x) is compressed horizontally and reflected over the x-axis.

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Answers (1)

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Robert Yang · Answer 1

F (x0 = x³, if g (x) = f (2x), the replace x by - 2x in f (x)

g (x) = (-2x) ³ and g (x) = - 8x³

f (x) is always increasing and g (x) is always decreasing

g (x) is stretched horizontally and reflected over the y-axis.? non

g (x) is stretched horizontally and reflected over the x-axis: yes