Determine the Center and Radius of the Circle $$( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 45$$

question 97

Multiple Choice

Determine the center and radius of the circle.
- $$( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 45$$

• A) Center: \(( - 2,3 )\); Radius: \(3 \sqrt { 5 }\)
• B) Center: \(( - 2,3 )\); Radius: 45
• C) Center: \(( 2 , - 3 )\); Radius: \(3 \sqrt { 5 }\)
• D) Center: \(( 2 , - 3 )\); Radius: 45

---

Definitions:

Physiologist

A scientist who studies the functions and processes of living organisms and their parts.

Wilhelm Wundt

Recognized as the pioneer of experimental psychology, he established the inaugural laboratory dedicated to psychological experiments at the University of Leipzig in 1879.

Philosopher

An individual who seeks knowledge and understanding about fundamental questions of reality, existence, and ethics through reasoned argument and thought.

Unconscious Wishes

Desires or motives that an individual is not fully aware of but that influence emotions and behavior, a concept often discussed in psychoanalytic theory.