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:

Foraging Tactic

Strategies employed by animals to locate, capture, and consume food, which can vary widely among species based on ecological niches and food availability.

Optimal

The most favorable or desirable condition or outcome, especially from the standpoint of biology, where it often refers to the most efficient allocation of resources for survival and reproduction.

Fitness Payoff

The benefit gained in terms of reproductive success and survival by adopting a particular behavior or strategy.

Thief Phenotype

A behavioral characteristic exhibited by some individuals, where they steal resources (such as food or nesting materials) from other members of the same or different species.