Find the Vertex, the Focus, and the Directrix of the Parabola

question 165

Multiple Choice

Find the vertex, the focus, and the directrix of the parabola.
- $$2 x ^ { 2 } + 20 x - y + 53 = 0$$

• A) Vertex: \(( - 5,0 )\); Focus: \(( - 5,5 )\); Directrix: \(x = 1\)
• B) Vertex: \(\left( - 5 , - \frac { 24 } { 17 } \right)\); Focus: \(\left( - 5 , \frac { 23 } { 8 } \right) ;\) Directrix: \(x = \frac { 25 } { 8 }\)
• C) Vertex: \(( - 5,3 )\); Focus: \(( - 5,11 )\); Directrix: \(x = 5\)
• D) Vertex: \(( - 5,3 )\); Focus: \(\left( - 5 , \frac { 25 } { 8 } \right)\); Directrix: \(y = \frac { 23 } { 8 }\)

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Definitions:

Variable Overhead Efficiency Variance

The difference between the standard cost of variable overheads based on expected efficiency and the actual variable overheads incurred.

Month

A unit of time, approximately 1/12th of a year, based on the Gregorian calendar.

Variable Overhead Rate Variance

The difference between the actual variable overhead incurred and the expected variable overhead based on standard costs.

Labor Rate Variance

The difference between the actual labor rate paid and the standard or expected labor rate, impacting the total cost of production.