Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 2y − 2z = 22

Given:
x^2 + y^2 + z^2 + 2x − 2y − 2z = 22

group the variables
x^2+2x + y^2-2y +z^2-2z = 22

then complete the squares
x^2+2x+1 + y^2-2y+1 + z^2-2z+1 = 22 +1 +1 +1 

factor and simplify
(x+1)^2 + (y-1)^2 + (z-1)^2 = 5^2

Interpretation:
The centre of the sphere is at (-1,1,1) with a radius of 5

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.