- #1
Turbodog66
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Member warned about posting without the HW template
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:
x2−4x+y2−4y+z2−2z = -35/4 (original equation)
(x-2)^2 + (y-2)^2 + (z-1)^2 -9 = -35/4
(x-2)^2 + (y-2)^2 + (z-1)^2 = -35/4 + 9 >> √1/4 >> 1/2
C = (2,2,1) r = 1/2
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?
x2−4x+y2−4y+z2−2z = -35/4 (original equation)
(x-2)^2 + (y-2)^2 + (z-1)^2 -9 = -35/4
(x-2)^2 + (y-2)^2 + (z-1)^2 = -35/4 + 9 >> √1/4 >> 1/2
C = (2,2,1) r = 1/2
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?
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