Find the Eccentricity of the Conic Section Shown in the Graph

question 101

Multiple Choice

Find the eccentricity of the conic section shown in the graph.
- $$x = - 21$$

• A) \(e = \frac { 5 } { 2 }\)
• B) \(e = \frac { \sqrt { 21 } } { 5 }\)
• C) \(e = \frac { \sqrt { 29 } } { 5 }\)
• D) \(\mathrm { e } = 1\)

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Definitions:

Sketch Graph

The process of drawing a rough graph of a mathematical function or equation based on its key features, without the use of precise calculations.

Absolute Value

The distance of a number from zero on a number line, without considering direction.

Equation

An equation is a mathematical statement that asserts the equality of two expressions, often including variables and constants.

Sketch Graph

The process of roughly drawing a graph to represent a mathematical function or data set visually, highlighting its main features without precise calculations.