SOLUTION: Describe and find an equation for the shape generated by all points (x,y,z) that are two units from the point (4,-1,1). Please help me!!! Thanks

Question 184987: Describe and find an equation for the shape generated by all points (x,y,z) that are two units from the point (4,-1,1). Please help me!!! Thanks
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The locus of points (x, y, z) that are 2 units from a given point (4, -1, 1) describe a sphere whose center is at (4, -1, 1) and whose radius is 2 units.
The general form for a sphere with center at (h, k, l) and radius (r) is given by:
so for this problem, you have the equation:

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