Answer
The equation of the compressed graph is $$y=1-27x^3$$
Work Step by Step
For $c\gt1$, the graph is scaled:
- $y=cf(x)$ - stretched - vertically - factor of $c$
- $y =\frac{1}{c}f(x)$ - compressed - vertically - factor of $c$
- $y=f(cx)$ - compressed - horizontally - factor of $c$
- $y=f(\frac{x}{c})$ - stretched - horizontally - factor of $c$
$$y=1-x^3$$
The graph is COMPRESSED - HORIZONTALLY - by a factor of $3$.
Therefore, the equation of the new graph is $$y=1-(3x)^3$$
$$y=1-27x^3$$
