Find the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } - 2 x - 8$

question 206

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = x ^ { 2 } - 2 x - 8$

• A) Vertex: \(( 1 , - 9 )\); \(x\)-intercepts: \(( - 2,0 )\) and \(( 4,0 )\); \(y\)-intercept: \(( 0 , - 8 )\)
• B) Vertex: \(( - 1 , - 9 )\); \(x\)-intercepts: \(( - 4,0 )\) and \(( 2,0 )\); \(y\)-intercept: \(( 0 , - 8 )\)
• C) Vertex: \(( - 1 , - 9 )\); x-intercepts: \(( - 4,0 )\) and \(( 2,0 )\); y-intercept: \(( 0,8 )\)
• D) Vertex: \(( 1 , - 9 )\); \(x\)-intercepts: \(( 2,0 )\) and \(( 4,0 )\); \(y\)-intercept: \(( 0 , - 8 )\)

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Definitions:

Differing Perceptions

The way in which our interpretations of situations clash with the perceptions of others.

Differing Perceptions

Variations in how individuals interpret or view a situation, event, or concept, often due to personal experiences or cultural backgrounds.

Confusion

A state of being bewildered or unclear in one’s mind about something, often leading to indecision or error.

Misconception

A view or opinion that is incorrect because it is based on faulty thinking or understanding.