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Jakob Littel

Feb 20, 2025

About x^2 + y^2 +z^2 = 2z?

I know that this is a sphere and that it will be shifted, I believe, but I don't understand how I would know how to graph this without using a calculator. Does anyone know WHY it's shifted over, or another way of representing this equation that might illuminate what's going on here?
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Hermina Ferry

Feb 20, 2025

x² + y² + z² = 2zx² + y² + z² - 2z = 0 x² + y² + z² - 2z + 1 = 1x² + y² + (z - 1)² = 1Center (0,0,1) Radius = 1... Show More
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