Here's the graph of the equation $y = x^3 - 2$. You can see the characteristic "S" shape of a cubic function, with the graph shifted downward by 2 units. The function increases rapidly for large positive values of $x$ and decreases similarly for large negative values of $x$.

Do you have any questions about this graph, or would you like a more detailed explanation?

Here are some related questions that might be interesting:

1. How would the graph change if the equation were $y = x^3 + 2$?
2. What happens to the graph if we replace $x^3$ with $-x^3$ in the equation?
3. How can we find the inflection point of $y = x^3 - 2$?
4. What are the roots of the equation $y = x^3 - 2$ when $y = 0$?
5. How does the slope of the tangent line change as $x$ increases?

Tip: For polynomials, the degree of the polynomial (in this case, 3) gives a hint about the general shape and the behavior at infinity.