Find the Vertex and Focus of the Parabola $y ^ { 2 } = - \frac { 1 } { 7 } x$

question 75

Multiple Choice

Find the vertex and focus of the parabola. $y ^ { 2 } = - \frac { 1 } { 7 } x$

• A)vertex: \(\left( 0 , - \frac { 5 } { 4 } \right)\) focus: \[\left( 0 , - \frac { 1 } { 28 } \right)\]
• B)vertex: \(\left( 0 , \frac { 5 } { 4 } \right)\) focus: \[\left( - \frac { 1 } { 7 } , - \frac { 1 } { 7 } \right)\]
• C)vertex: (0,0)focus: \(\left( - \frac { 1 } { 28 } , 0 \right)\)
• D)vertex: (0,0)focus: \(\left( - \frac { 1 } { 7 } , 0 \right)\)
• E)vertex: (0,0)focus: \(\left( 0 , - \frac { 1 } { 7 } \right)\)

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Definitions:

Marginal Revenue

The gain in income associated with the sale of one extra unit of a good or service.

Price Searcher

A seller that has the ability to influence the price of its product due to lack of competition or the nature of the product.

Perfectly Elastic

refers to a market scenario where the quantity demanded or supplied changes infinitely with any change in price.

Marginal Cost

The increment in sum total cost that comes with the production of an additional single unit of a good or service.