Find the Vertex and Focus of the Parabola for the Given

question 550

Multiple Choice

Find the vertex and focus of the parabola for the given equation and select its graph. $y = - 3 x ^ { 2 }$

• A)Vertex: (0,0)Focus: (0,3)
• B)Vertex: (0,0)Focus: (0,-12)
• C)Vertex: (0,0)Focus: (0,-3)
• D)Vertex: (0,0)Focus: \(\left( 0 , - \frac { 1 } { 12 } \right)\)
• E)Vertex: (0,0)Focus: \(\left( 0 , \frac { 1 } { 3 } \right)\)

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Definitions:

Perfection

The condition, state, or quality of being free from all flaws or defects.

Moral Evil

Wrong or harm arising from intentional actions or character flaws of moral agents, contrasted with evil resulting from natural processes or accidents.

Free Will

Among philosophers, a somewhat antiquated expression (as in “he did it of his own free will”) meaning that a person is capable of making decisions that are not determined by antecedent conditions. Of course, there may be antecedent considerations, such as what a person wants or what a person believes, but free will means that such considerations never determine a person’s decision. At most they “enter into the decision.”

Least of the Evils

A principle involved in decision making that opts for the less harmful or least undesirable option among several bad choices.