Here is the graph of the spade shape represented by the equation:

\[
\left[(x^2 + y^2 - 1\right]^3 - x^2 y^3 = 0
\]

This equation approximates the iconic spade shape, capturing both the rounded upper part and the pointed lower part.

Do you have any questions, or would you like more details on how this equation models the shape? Here are some follow-up topics:

1. How can this equation be modified to refine the shape further?
2. What other mathematical shapes can be represented with single equations?
3. Would you like to explore how implicit functions like this one are graphed?
4. How does this equation compare to parametric equations for the same shape?
5. Can you use this equation in a different coordinate system, like polar coordinates?

**Tip:** When working with implicit equations, remember that small changes in the equation's terms can significantly alter the shape, which can be useful for fine-tuning designs.

Explore how to graph the spade shape using the implicit equation \[(x^2 + y^2 - 1)^3 - x^2 y^3 = 0\]. Understand the mathematical representation of the iconic spade symbol and learn about modifying implicit equations for shape refinement. Suitable for advanced mathematics enthusiasts and those interested in graphical representations of mathematical shapes.

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