Standard cubic fucntion f(x)=x^3?

Question

Begin graphing f(x)=x^3 (I did) then use transformations of this graph to graph g(x)=-1/2x^3

How did the -1/2 become -2?

Answer 1

y = -1/2x^3
so
-2y = x^3
so the - sign says to flip the graph upside down
and
the 2y means that intervals on y axis measure twice as long
so the curve will look half as tall in comparison

.

Answer 2

I can't tell if this is a question...if you're asking how the graph would look, each y-value of 0.5x^3 will be half of what it was in the x^3 function, i.e. y(1) = 0.5*1, y(2) = 0.5*4, y(3) = 0.5*9, etc.

Answer 3

Just take the points (x, f(x)) that you calculated for y=f(x)=x^3 and write them as (x, f(x)/2) and you'll have all your 'new' points to plot.

Doug