Quadratic Drawing

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I was wondering if anyone could help me with the shading This is the picture:

enter image description here

Here are my equations so far:

enter image description here

I was wondering if anyone knew what domain and range constraints I could add to make only the inside of the petal shaded.

Thanks

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How about this? Its more natural to use more general restrictions than rectangular ones (I also don't know how to make desmos plot the intersection of two sets any other way) https://www.desmos.com/calculator/yzpuhh6cf2

How about this?