Find an equation for the sphere with the given center and radius.
-Center (-2, 0, 0), radius = 9
A) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 77$
B) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 4 x = 77$
C) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 9$
D) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 4 x = 9$

Question

Find an equation for the sphere with the given center and radius.
-Center (-2, 0, 0), radius = 9 
A) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 77$
B) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 4 x = 77$
C) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 9$
D) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 4 x = 9$

Quizplus · Accepted Answer

The equation of a sphere with center (h, k, l) and radius r is $(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2$. For center (-2, 0, 0) and radius 9, the equation is $(x + 2)^2 + y^2 + z^2 = 81$, which simplifies to $x^2 + y^2 + z^2 + 4x = 77$.

Find an Equation for the Sphere with the Given Center x2+y2+z2−4x=77x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 77x2+y2+z2−4x=77

Find an Equation for the Sphere with the Given Center $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 77$