Find the Center and Vertices of the Hyperbola $12 x ^ { 2 } - 4 y ^ { 2 } - 72 x - 16 y + 44 = 0$

question 236

Multiple Choice

Find the center and vertices of the hyperbola. $12 x ^ { 2 } - 4 y ^ { 2 } - 72 x - 16 y + 44 = 0$

• A)center: (3, -2), vertices: (3, -4), (3, 0)
• B)center: (-3, 2), vertices: (-3, 0), (-3, 4)
• C)center: (3, -2), vertices: (1, -2), (5,-2)
• D)center: (2, -3), vertices: (0, -3), (4, -3)
• E)center: (-3,2), vertices: (-5, 2), (-1, 2)

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Definitions:

Unidirectional Flow

A process or communication method where information or resources move in only one direction, from sender to receiver, without a reciprocal exchange.

Periphery

The outer limits or edge of an area or object, often referring to regions or areas that are marginal, less developed, or outside the mainstream.

Glocalization

The practice of conducting business according to both local and global considerations, adapting services or products for local markets while maintaining global appeal.

Unidirectional Flow

A transmission mode where signals or data travel in a single direction from origin to destination, without feedback or interaction from the receiver.