1. The problem asks to write the equation of the polynomial shown in Line #2, which is a cubic polynomial with a hump in the middle, indicating it has one local maximum and one local minimum. 2. A general cubic polynomial can be written as $$y = ax^3 + bx^2 + cx + d$$ where $a$, $b$, $c$, and $d$ are constants. 3. The graph crosses the y-axis slightly above 0, so $d$ is a small positive number. 4. The local maximum near $x \approx -2$ and local minimum near $x \approx 8$ suggest the derivative has roots near these points. 5. The derivative is $$y' = 3ax^2 + 2bx + c$$ which should be zero at the local extrema. 6. Using the approximate roots of the derivative at $x = -2$ and $x = 8$, we can write $$y' = 3a(x + 2)(x - 8) = 3a(x^2 - 6x - 16) = 3ax^2 - 18ax - 48a$$ 7. Equating coefficients, $$3a = 3a, \quad 2b = -18a \Rightarrow b = -9a, \quad c = -48a$$ 8. Choose $a = 1$ for simplicity, then $b = -9$, $c = -48$. 9. The polynomial is $$y = x^3 - 9x^2 - 48x + d$$ 10. Since the graph crosses the y-axis slightly above 0, let $d = 10$ as an estimate. 11. Final polynomial equation: $$\boxed{y = x^3 - 9x^2 - 48x + 10}$$