Question

The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x3). 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.

Answer 1

g(x) = f(-2x). The negative inside reflects the graph across the y-axis, and the factor 2 inside causes a horizontal compression by a factor of 1/2.

So: g(x) is compressed horizontally and reflected over the y-axis.