How is the graph of g(x)= -(2x)^3 related to the graph pf f(x) = x^3
answer: I don't understand the answer..thank you
the graph of g(x) is a horizontal compression of the graph of f(x) by a factor of 1/2 and a reflection across the x axis.
the answer is right there.
To scale horizontally by a factor of a, replace x by x/a
Reflection across teh x-axis changes the sign of the y values. y becomes -y
You've been posting this for days -- there are lots of videos online, and you surely have a text which explains it. Go to some online graphing site, like desmos or wolframalpha, and play around with scaling and reflecting. Put in a little effort, instead of sitting ion your hands and waiting for an explanation here.
In fact, google will be able to provide many longer and better explanations than you will get here.