Find the Vertex and Focus of the Parabola $x ^ { 2 } + 12 y = 0$

question 155

Multiple Choice

Find the vertex and focus of the parabola. $x ^ { 2 } + 12 y = 0$

• A)vertex: (0, 0) focus: \(( 0 , - 3 )\)
• B)vertex: (0, 0) focus: \(( 0,3 )\)
• C)vertex: \(( 3,0 )\) focus: (0, 0)
• D)vertex: \(( - 3,0 )\) focus: (0, 0)
• E)vertex: (0, 0) focus: \(( 3,0 )\)

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Definitions:

Hindsight Bias

The tendency to believe, after an event has occurred, that one would have predicted or expected the outcome, also known as the "knew-it-all-along" effect.

Confounding Variable

An external factor in a research study that correlates with both the dependent and independent variables, potentially skewing results.

Alcoholic Beverage

A drink that contains ethanol, commonly known as alcohol, which is a psychoactive substance.

Control Group

In experimental research, the group that does not receive the treatment or intervention being tested, serving as a baseline for comparison.