Graph the Hyperbola $\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 64 } = 1$

question 69

Multiple Choice

Graph the hyperbola. Identify the center and vertices.
- $\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 64 } = 1$

• A) center: \(( 0,0 )\); vertices: \(( 0 , - 7 ) , ( 0,7 )\)
• B) center: \(( 7,8 )\); vertices: \(( 0 , - 7 ) , ( 0,7 )\)
• C) center: \(( 7,8 )\); vertices: \(( - 7,0 ) , ( 7,0 )\)
• D) center: \(( 0,0 )\); vertices: \(( - 7,0 ) , ( 7,0 )\)

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Definitions:

Price Floor

A minimum price set by the government for certain goods and services, intended to ensure fair conditions for producers.

Shortage

A situation where demand exceeds supply, often leading to rising prices and unmet consumer needs.

Surplus

An excess of income or assets over expenditure or liabilities in a given period, often referring to profit or the amount of goods produced over what is needed.

Price Ceiling

A restriction enforced by the government on the highest price allowable for a product or service.