Find the Standard Form of the Equation of the Hyperbola $( \pm 4,0 )$

question 7

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. foci: $( \pm 4,0 )$ asymptotes: $y = \pm 2 x$

• A) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 4 } = 1\)
• C) \(\frac { y ^ { 2 } } { \frac { 16 } { 5 } } - \frac { x ^ { 2 } } { \frac { 64 } { 5 } } = 1\)
• D) \(\frac { x ^ { 2 } } { \frac { 16 } { 5 } } - \frac { y ^ { 2 } } { \frac { 64 } { 5 } } = 1\)
• E) \(\frac { x ^ { 2 } } { \frac { 64 } { 5 } } - \frac { y ^ { 2 } } { \frac { 16 } { 5 } } = 1\)

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Definitions:

Binomial Formula

A mathematical formula used to determine the number of successes in a fixed number of trials in a binomial experiment, given the probability of success in each trial.

Independent

Refers to a variable in an experiment or study that is purposely manipulated or changed to observe its effect on other variables.

Successful Operations

Activities or series of activities within a process which achieve the intended goals or objectives efficiently and effectively.

Poisson Approximation

A statistical technique used to approximate the probabilities of events with a very low probability over a large number of trials.