Find the Vertex of the Graph of the Quadratic Function $f ( x ) = \frac { 1 } { 2 } x ^ { 2 } + 4 x + \frac { 15 } { 2 }$

question 53

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = \frac { 1 } { 2 } x ^ { 2 } + 4 x + \frac { 15 } { 2 }$

• A) Vertex: \(\left( - 4 , - \frac { 1 } { 2 } \right)\) \(x\)-intercepts: \(( - 5,0 )\) and \(( - 3,0 )\); \(y\)-intercept: \(\left( 0 , \frac { 15 } { 2 } \right)\)
• B) Vertex: \(\left( 4 , \frac { 1 } { 2 } \right)\); \(x\)-intercepts: \(( 5,0 )\) and \(( 3,0 )\); \(y\)-intercept: \(\left( 0 , - \frac { 15 } { 2 } \right)\)
• C) Vertex: \(\left( 4 , - \frac { 1 } { 2 } \right)\) \(x\)-intercepts: \(( 5,0 )\) and \(( 3,0 )\); \(y\)-intercept \(\left( 0 , \frac { 15 } { 2 } \right)\)
• D) Vertex: \(\left( - 4 , \frac { 1 } { 2 } \right)\) \(x\)-intercepts: \(( - 5,0 )\) and \(( - 3,0 )\); \(y \text {-intercept: }\left(0,-\frac{15}{2}\right)\)

Recognition of Type A and Type B personality classifications and their implications.

Insights into the role of brain arousal in personality traits according to trait theory.

Knowledge of the stability of personality and the trait perspective's contribution to understanding personality.

Understanding of reciprocal determinism and its significance in personality development.

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Definitions:

Maximum Rate

The highest possible level or speed at which something can be achieved or occurs, often used in the context of production or performance.

Joint Cost

Costs that are incurred in producing multiple products prior to the point at which the products become separately identifiable.

Split-off Point

The stage in a process at which various products become separately identifiable and their costs can be separately assigned.

Joint Products

Two or more products that are produced from a common input.