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

question 184

Multiple Choice

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

• A) Vertex: \(( 0,8 )\); x-intercepts: none; y-intercept: \(( 0,8 )\)
• B) Vertex: \(( - 2 , - 8 )\); \(x\)-intercepts: \(( 0,0 )\) and \(( 4,0 )\); \(\mathrm { y }\)-intercept: \(( 0,0 )\)
• C) Vertex: \(( 0 , - 8 )\); \(x\)-intercepts: \(( - 2,0 )\) and \(( 2,0 )\); \(y\)-intercept: \(( 0 , - 8 )\)
• D) Vertex: \(( 2 , - 8 )\); \(x\)-intercepts: \(( 0,0 )\) and \(( 4,0 )\); \(y\)-intercept: \(( 0,0 )\)

---

Definitions:

Reciprocity

The mutual exchange of privileges or services between parties, ensuring mutual benefit.

Mirror-Image Perceptions

The tendency to see oneself, especially in conflicts, as the opposite of how one sees the other party, usually viewing oneself positively and the other negatively.

Deindividuation

A psychological state characterized by reduced self-awareness and decreased personal responsibility, often occurring in group settings.

Superordinate Goals

Shared goals that can only be achieved through cooperation among individuals or groups, often used to overcome intergroup conflict.