The equation of the graph that represents a reflection of $y = -(x + 1)^2$ over the y-axis can be found by replacing $x$ with $-x$ in the equation.

Starting with the original equation: $y = -(x + 1)^2$

When reflected over the y-axis: $y = -((-x) + 1)^2$

This simplifies to: $y = -( -x + 1)^2$

Thus, the correct equation after reflection over the y-axis is: $y = -( -x + 1)^2$

So, the corresponding equation is: $\boxed{y = -( -x + 1)^2}$

Let me know if you'd like more details or have any questions!

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Here are 5 related questions to explore further:

1. What is the general rule for reflecting a graph over the y-axis?
2. How do transformations like shifts and reflections affect the vertex of a parabola?
3. What is the effect of reflecting a graph over the x-axis?
4. How can you determine the axis of symmetry for a quadratic function?
5. How does the graph of $y = -(x + 1)^2$ differ from $y = (x + 1)^2$?

Tip: When reflecting a function over the y-axis, replace $x$ with $-x$ in the equation.