Find the Vertex and Focus of the Parabola $$x ^ { 2 } - 8 y = 0$$

question 98

Multiple Choice

Find the vertex and focus of the parabola.
$$x ^ { 2 } - 8 y = 0$$

• A) vertex: \(( 2,0 )\) focus: \(( 0,0 )\)
• B) vertex: \(( - 2,0 )\) focus: \(( 0,0 )\)
• C) vertex: \(( 0,0 )\) focus: \(( 2,0 )\)
• D) vertex: \(( 0,0 )\) focus: \(( 0,2 )\)
• E) vertex: \(( 0,0 )\) focus: \(( 0 , - 2 )\)

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Definitions:

Short Run

A period in economics where at least one factor of production is fixed, influencing the responsiveness of a company to changes in market demand.

Marginal Revenue

The additional income earned from selling one more unit of a product or service.

Average Total Cost

The total cost of production divided by the total quantity produced, representing the cost per unit of output.

Profit-maximizing

A strategy or behavior where a firm aims to achieve the highest possible profit from its operations, considering costs, revenue, and market conditions.