Identify the Center and Vertices of the Hyperbola $( y - 1 ) ^ { 2 } - ( x + 6 ) ^ { 2 } = 9$

question 43

Multiple Choice

Identify the center and vertices of the hyperbola. $( y - 1 ) ^ { 2 } - ( x + 6 ) ^ { 2 } = 9$

• A)center: \(( - 6,1 )\) vertices: \(( - 6 , - 2 ) , ( - 6,4 )\)
• B)center: \(( 6 , - 1 )\) vertices: \(( - 6,3 ) , ( - 6 , - 3 )\)
• C)center: \(( 6 , - 1 )\) vertices: \(( 3 , - 1 ) , ( 9 , - 1 )\)
• D)center: \(( - 6,1 )\) vertices: \(( - 9,1 ) , ( - 3,1 )\)
• E)center: \(( - 6,1 )\) vertices: \(( - 6,3 ) , ( - 6 , - 3 )\)

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Definitions:

Project Outcomes

The results or impacts of a project after its completion, including success, failure, or mixed results.

Sensitivity/Scenario Analysis

Techniques used in financial modeling to examine how different values of an input variable can impact a project or investment's outcome under various scenarios.

Project NPV

This refers to the net present value specifically calculated for a given project, representing the difference between the project's cash inflows and outflows discounted at a particular rate over time.

Probability Distribution

A mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.