Find the Standard Form of the Equation of the Hyperbola $\frac { ( y - 5 ) ^ { 2 } } { 4 } - \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1$

question 344

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (3, 3) , (3, 7)
Foci: (3, 1) , (3, 9)

• A) \(\frac { ( y - 5 ) ^ { 2 } } { 4 } - \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1\)
• B) \(\frac { ( y - 5 ) ^ { 2 } } { 4 } + \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1\)
• C) \(\frac { ( x - 5 ) ^ { 2 } } { 4 } - \frac { ( y - 3 ) ^ { 2 } } { 12 } = 1\)
• D) \(\frac { ( y + 5 ) ^ { 2 } } { 4 } - \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1\)
• E) \(\frac { ( y - 5 ) ^ { 2 } } { 4 } - \frac { ( x + 3 ) ^ { 2 } } { 12 } = 1\)

---

Definitions:

Anxiety

A feeling of worry, nervousness, or unease about something with an uncertain outcome.

Gamma-Aminobutyric Acid (GABA)

A neurotransmitter in the brain that inhibits nerve transmission, helping to regulate nervous system activity.

Neurotransmitter

A chemical substance that is released by a transmitting neuron at the synapse and that alters the activity of a receiving neuron.

Anxiety

A feeling of worry, nervousness, or unease, typically about an imminent event or something with an uncertain outcome.