The equation provided in the image is:

[ y(x) = \left[ \exp\left( -\frac{3}{2}x^2 \right) \right] \left[ 3(x^2 + 1)^{3/2} - 2 \right] ]

This represents a function of $x$, composed of two parts:

1. $\exp\left( -\frac{3}{2}x^2 \right)$ — An exponential decay term that decreases as $x^2$ increases.
2. $\left[ 3(x^2 + 1)^{3/2} - 2 \right]$ — A polynomial-like expression involving $x^2$, scaled by a factor of 3 and raised to the power $3/2$, then reduced by 2.

Would you like to explore how this function behaves or requires some other details?

Here are 5 questions that might be of interest:

1. What is the domain and range of $y(x)$?
2. How does the function behave for large values of $x$ (as $x \to \infty$)?
3. Can you differentiate $y(x)$ to find the first derivative?
4. How does the function behave near $x = 0$?
5. What are the critical points and inflection points of $y(x)$?

Tip: When dealing with complex expressions, simplifying individual terms can help when finding derivatives or integrals.