Write the Standard Form of the Equation of the Parabola $( - 8 , - 3 )$

question 77

Multiple Choice

Write the standard form of the equation of the parabola that has a vertex at $( - 8 , - 3 )$ and passes through the point $( - 6,2 )$

• A) \(f ( x ) = \frac { 5 } { 64 } ( x - 8 ) ^ { 2 } - 3\)
• B)\(f ( x ) = - \frac { 3 } { 64 } ( x + 3 ) ^ { 2 } + 6\)
• C) \(f ( x ) = \frac { 5 } { 4 } ( x + 8 ) ^ { 2 } - 3\)
• D) \(f ( x ) = \frac { 1 } { 2 } ( x + 8 ) ^ { 2 } - 6\)
• E) \(f ( x ) = \frac { 1 } { 2 } ( x + 3 ) ^ { 2 } + 2\)

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Definitions:

Lateral Corticospinal Tract

A key neural pathway located in the spinal cord, responsible for transmitting motor signals from the brain to muscles for voluntary movement.

Tectospinal Tract

A neural pathway involved in reflex movements of the head in response to visual and auditory stimuli.

Anterior Corticospinal Tract

A bundle of nerve fibers in the spinal cord involved in the voluntary movement of muscles, particularly influencing axial muscles.

Lateral Spinothalamic Tract

A neuron pathway within the spinal cord responsible for transmitting pain and temperature sensations to the brain.