Find the Equation of the Parabola $y = a x ^ { 2 } + b x + c$

question 187

Multiple Choice

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points. $( - 1,4 ) , ( 0,4 ) , ( 1,0 )$

• A) \(y = - x ^ { 2 } - 2 x + 4\)
• B) \(y = - 2 x ^ { 2 } - 2 x - 4\)
• C) \(y = - 2 x ^ { 2 } + 2 x - 4\)
• D) \(y = - x ^ { 2 } - 2 x + 3\)
• E) \(y = - 2 x ^ { 2 } - 2 x + 4\)

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Definitions:

Vestibular System

The sensory system that contributes to balance and spatial orientation; it includes the parts of the inner ear and brain that process the sensory information involved with controlling balance and eye movements.

Maintain Balance

The ability of an organism to keep their body in equilibrium or stable, whether in motion or standing still.

Frequency

The rate at which something occurs over a particular period of time or in a given sample.

Sound Waves

Sounds that move through air or a different medium and become audible when they arrive at the ear of a human or animal.