Matching graphs of spheres to given equations

[Turbodog66]

I have been given a problem with 4 equations, that need to be matched up to the corresponding image. I have worked the equations already and determined their center, but for the life of me I cannot seem to figure out which graph goes with which equation. The images are not that easy to read which is most of my issue. Here is an example:

[FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]y[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Math]y[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]z[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Math]z = -35/4[/FONT]

[FONT=MathJax_Math](x-2)^2 +4 (y-2)^2 +4 (z-1)^2 +1 = -35/4

[FONT=MathJax_Math](x-2)^2 + (y-2)^2 + (z-1)^2 + 9 = -35/4[/FONT]
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This would give me a center of (2,2,1). However, none of the spheres I am provided appear to match this. Am I blind or does my math appear to be off?

 

[Deleted member 4993]

I have been given a problem with 4 equations, that need to be matched up to the corresponding image. I have worked the equations already and determined their center, but for the life of me I cannot seem to figure out which graph goes with which equation. The images are not that easy to read which is most of my issue. Here is an example:

[FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]y[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Math]y[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]z[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Math]z = -35/4[/FONT]

[FONT=MathJax_Math](x-2)^2 +4 (y-2)^2 +4 (z-1)^2 +1 = -35/4 ..... how did you get that?

[FONT=MathJax_Math](x-2)^2 + (y-2)^2 + (z-1)^2 + 9 = -35/4 [FONT=MathJax_Math]..... how did you get that, from above?[/FONT][/FONT]
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This would give me a center of (2,2,1). However, none of the spheres I am provided appear to match this. Am I blind or does my math appear to be off?

[FONT=MathJax_Math]x[/FONT]^{[FONT=MathJax_Main]2[/FONT]}[FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]y[/FONT]^{[FONT=MathJax_Main]2[/FONT]}[FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]4[/FONT][FONT=MathJax_Math]y[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]z[/FONT]^{[FONT=MathJax_Main]2[/FONT]}[FONT=MathJax_Main]−[/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Math]z = -35/4

[FONT=MathJax_Math](x-2)[/FONT]^{[FONT=MathJax_Main]2 [/FONT]}[FONT=MathJax_Main][/FONT][FONT=MathJax_Main][/FONT][FONT=MathJax_Math][/FONT][FONT=MathJax_Main]+ ([/FONT][FONT=MathJax_Math]y-2)[/FONT]^{[FONT=MathJax_Main]2[/FONT]}[FONT=MathJax_Main] [/FONT][FONT=MathJax_Main][/FONT][FONT=MathJax_Math][/FONT][FONT=MathJax_Main]+ ([/FONT][FONT=MathJax_Math]z-1)[/FONT]^{[FONT=MathJax_Main]2[/FONT]}[FONT=MathJax_Main] - 9[/FONT][FONT=MathJax_Math] = -35/4

[FONT=MathJax_Math][FONT=MathJax_Math](x-2)[/FONT]^{[FONT=MathJax_Main]2 [/FONT]}[FONT=MathJax_Main][/FONT][FONT=MathJax_Main][/FONT][FONT=MathJax_Math][/FONT][FONT=MathJax_Main]+ ([/FONT][FONT=MathJax_Math]y-2)[/FONT]^{[FONT=MathJax_Main]2[/FONT]}[FONT=MathJax_Main] [/FONT][FONT=MathJax_Main][/FONT][FONT=MathJax_Math][/FONT][FONT=MathJax_Main]+ ([/FONT][FONT=MathJax_Math]z-1)[/FONT]^{[FONT=MathJax_Main]2[/FONT]}[FONT=MathJax_Main] [/FONT][FONT=MathJax_Math] = (1/2)²[/FONT][/FONT]
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Now eliminate the spheres that does not have a radius = 1/2
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