Write the Standard Form of the Equation of the Circle $( - 1,4 )$

question 70

Multiple Choice

Write the standard form of the equation of the circle with the given characteristics.
center: $( - 1,4 )$ ; radius: 3

• A) \(( x - 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 9\)
• B) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 3\)
• C) \(( x + 1 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 9\)
• D) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 3\)
• E) \(( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9\)

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Definitions:

Continuous Reinforcement

A strategy in which a desired behavior is reinforced every time it occurs, leading to quick learning of the behavior.

Behavior Modification

A psychological strategy for altering undesirable behaviors through reinforcement, punishment, and other interventions.

Occasional Praise

The act of expressing approval or admiration infrequently or at irregular intervals, often used as a motivational tool in personal and professional contexts.

Mentor Relationships

The dynamic between a more experienced individual (mentor) and a less experienced individual (mentee), geared towards the latter's personal and professional development.