The equation provided in the image is:

$y = x^3 - 3x + 3$

This is a cubic function. Would you like to analyze its properties, such as finding the critical points, inflection points, or sketching the curve? Let me know how you'd like to proceed!

Would you like to:

1. Find the derivative and critical points of the function?
2. Analyze the concavity and find the inflection points?
3. Determine the behavior of the function as $x \to \infty$ and $x \to -\infty$?
4. Calculate the y-intercept and any possible real roots?
5. Explore an application of this type of cubic function?

Tip: For cubic functions, the first derivative helps find local maxima and minima, while the second derivative helps determine concavity and inflection points.