Rewrite the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } + 6 x - 8 y - 56 = 0$$

question 16

Multiple Choice

Rewrite the equation in standard form. Find the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } + 6 x - 8 y - 56 = 0$$

• A) \(( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 81
• center \(( - 3,4 ) , r = 9
• B) \(( x - 3 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 81
• center \(( 3 , - 4 ) , r = 9
• C) \(( x - 4 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 81
• center \(( 4 , - 3 ) , \ { r } = 9\)
• D) \(( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 81
• center \(( - 3,4 ) , r = 81\)

---

Definitions:

Humanistic Therapy

A therapeutic approach emphasizing personal growth and self-understanding, focusing on treating the individual as a whole.

Long-Buried Conflicts

Deep-seated and often unconscious disputes or disagreements that have been suppressed or unresolved for an extended period.

New Adaptive Behaviors

The development of changed or novel behaviors by an individual or group in response to new or altered environmental conditions.

Childhood Events

Significant occurrences in one’s early years that can have a lasting impact on their development and personality.