Find the equation of a sphere if one of its diameters has endpoints: (-9, -12, -6) and (11, 8, 14). = 0

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .

Step-by-step explanation:

There are two kew parameters for a sphere: Center (, , ) and Radius (). The radius is the midpoint of the line segment between endpoints. That is:

The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:

The general formula of a sphere centered at (h, k, s) and with a radius r is:

Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .

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step-by-step explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1