Complete the Square to Determine the Type of Curve Represented $x ^ { 2 } + 6 x - 3 y ^ { 2 } + 12 y = 12$

question 36

Essay

Complete the square to determine the type of curve represented by the equation. $x ^ { 2 } + 6 x - 3 y ^ { 2 } + 12 y = 12$

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Definitions:

Monopolistic Competitor

A market structure where many firms sell products that are similar but not identical, allowing them for some degree of market power.

Product Promotion

The process of marketing and advertising a product to increase awareness and sales.

Marginal Revenue

The increase in revenue resulting from the sale of one additional unit of a product or service.

Profit-Maximizing

The strategy used by a business to find the optimal price and quantity of production for maximum profit.