Find the Vertex,focus,and Directrix of the Parabola $y ^ { 2 } = - 3 x$

question 115

Multiple Choice

Find the vertex,focus,and directrix of the parabola.​ $y ^ { 2 } = - 3 x$ ​

• A)Vertex: (0,0);Focus: \(\left( - \frac { 3 } { 4 } , 0 \right)\) ;Directrix: \(x = - \frac { 3 } { 4 }\)
• B)Vertex: (0,0);Focus: \(\left( - \frac { 1 } { 3 } , 0 \right)\) ;Directrix: \(x = \frac { 1 } { 3 }\)
• C)Vertex: (0,0);Focus: \(\left( \frac { 1 } { 3 } , 0 \right)\) ;Directrix: \(x = \frac { 1 } { 3 }\)
• D)Vertex: (0,0);Focus: \(\left( \frac { 3 } { 4 } , 0 \right)\) ;Directrix: \(x = - \frac { 3 } { 4 }\)
• E)Vertex: (0,0);Focus: \(\left( - \frac { 3 } { 4 } , 0 \right)\) ;Directrix: \(x = \frac { 3 } { 4 }\)

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Definitions:

Synaptic Vesicles

Small sacs in a synapse that release neurotransmitters into the synaptic cleft to transmit neural signals between neurons.

Blood-Brain Barrier

A semipermeable barrier of endothelial cells that prevents most substances in the blood from entering the brain, thereby protecting it from toxins while allowing essential nutrients to pass through.

Neuroprotective

Pertaining to substances or practices that protect nerve cells from damage, degeneration, and impairment, often discussed in the context of neurodegenerative diseases.

Agonist

A chemical or drug that binds to receptors in the brain and activates them to produce a biological response.