Identify the Type of Graph $$( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + 12 = 0$$

question 396

Multiple Choice

Identify the type of graph.
- $$( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + 12 = 0$$

• A) The graph is a circle with center \(( - 4,2 )\).
• B) The equation has no graph.
• C) The graph is an ellipse with center \(( 4 , - 2 )\).
• D) The graph is the point \(( - 4,2 )\).

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Definitions:

Linear Relationships

A direct relationship between two variables where a change in one variable is associated with a proportional change in the other.

Scale

A system or series of marks used for measuring or quantifying objects or phenomena.

Curved Relationships

Relationships between two variables that do not follow a straight line when plotted on a graph, indicating a nonlinear association.

Explanatory Variables

Variables in a statistical model that are used to explain variations in the dependent variable, also known as independent variables.