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Home » y = a(x - h)^2 + k - Network4

y = a(x - h)^2 + k - Network4

📅 May 17, 2026 👤 scraface

May 17, 2026

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9c^2(x^2 + y^2) = (x^2 + y^2 + z^2)^2.
This is the equation of a **torus** centered along the \(z\)-axis with...
ho = 3c \sin(\phi)\), this describes a **sphere** of radius \(rac{3c}...
ho = 2a \sin\phi \Rightarrow ext{sphere of radius } a ext{ centered...
Here, \(2a = 3c \Rightarrow a = rac{3c}{2}\), so the shape is a spher...
Thus, the equation describes a sphere of radius \(rac{3c}{2}\) center...
oxed{ ext{A sphere of radius } \dfrac{3c}{2} ext{ centered at } \lef...
Question: Find the point on the line \(y = 2x + 1\) in the plane that...
Solution: We minimize the distance from a point \((x, 2x+1)\) on the l...
D = (x - 4)^2 + (2x + 1 - 3)^2 = (x - 4)^2 + (2x - 2)^2.

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