Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

question 54

Essay

Find the center and radius of the sphere. $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

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Definitions:

Natural Environment Type Phobia

An intense, irrational fear of objects or situations that occur in the natural environment, such as heights, storms, or water.

Situational Type Phobia

A type of anxiety disorder where an individual experiences intense fear or anxiety about specific situations or environments.

Social Anxiety Disorder

A chronic mental health condition characterized by significant anxiety and fear of being judged, negatively evaluated, or rejected in a social or performance situation.

Animal-type Phobia

A specific type of anxiety disorder characterized by an intense, irrational fear of animals.