Write the Given Equation in the Form $$( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$$

question 185

Multiple Choice

Write the given equation in the form $$( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$$ . Identify the center and radius.
- $$x ^ { 2 } + y ^ { 2 } - 8 y + 11 = 0$$

• A) Center: \(( 0 , - 4 ) ; r = 5\)
• B) Center: \(( 0,8 ) ; r = 11\)
• C) Center: \(( 0,4 ) ; r = \sqrt { 5 }\)
• D) Center: \(( 0 , - 8 ) ; r = 11\)

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Definitions:

Perception

The process by which sensory information is interpreted and organized in the brain to make sense of the environment.

Narrow Lines

Often symbolic of limitations or boundaries, possibly used to represent restricted viewpoints or constraints in a metaphorical sense.

Gestalt Principle

A theory in psychology that proposes the human brain sees objects in their entirety before perceiving their individual parts, suggesting people have an innate disposition to organize patterns and objects.

Proximity

The state of being near or close in space, time, or relationship.