Determine the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } - x + \frac { 5 } { 4 }$

question 55

Multiple Choice

Determine the vertex of the graph of the quadratic function $f ( x ) = x ^ { 2 } - x + \frac { 5 } { 4 }$ .

• A) \(\left( \frac { 1 } { 2 } , \frac { 3 } { 2 } \right)\)
• B) \(\left( - 1 , \frac { 5 } { 4 } \right)\)
• C) \(\left( - \frac { 1 } { 2 } , \frac { 5 } { 4 } \right)\)
• D) \(\left( - \frac { 1 } { 4 } , - \frac { 3 } { 4 } \right)\)
• E) \(\left( \frac { 1 } { 2 } , 1 \right)\)

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Definitions:

Neurons

Electrically excitable cells that process and transmit information through electrical and chemical signals in the nervous system.

Action Potential

A brief electrical impulse that a neuron uses to transmit information along its axon, essentially an on-off signal.

Axon

A narrow, elongated extension of a neuron that usually transmits electrical signals from the cell body of the nerve cell.

Refractory Period

The period immediately following the transmission of a nerve impulse or the contraction of a muscle during which a nerve or muscle is unresponsive to further stimulation.