Find the Vertex,focus,and Directrix of the Parabola $y ^ { 2 } = 10 x$

question 7

Multiple Choice

Find the vertex,focus,and directrix of the parabola.​ $y ^ { 2 } = 10 x$ ​

• A)Vertex: (0,0);Focus: \(\left( \frac { 10 } { 4 } , 0 \right)\) ;Directrix: \(x = - \frac { 10 } { 4 }\)
• B)Vertex: (0,0);Focus: \(\left( \frac { 1 } { 10 } , 0 \right)\) ;Directrix: \(x = \frac { 1 } { 10 }\)
• C)Vertex: (0,0);Focus: \(\left( - \frac { 10 } { 4 } , 0 \right)\) ;Directrix: \(x = - \frac { 10 } { 4 }\)
• D)Vertex: (0,0);Focus: \(\left( - \frac { 10 } { 4 } , 0 \right)\) ;Directrix: \(x = \frac { 10 } { 4 }\)
• E)Vertex: (0,0);Focus: \(\left( - \frac { 1 } { 10 } , 0 \right)\) ;Directrix: \(x = \frac { 1 } { 10 }\)

---

Definitions:

Stock Variable

A variable measured at a specific point in time, representing a quantity that exists or is accumulated, such as a country's debt or a company's inventory.

Labor

The human effort, both physical and mental, used in the production process.

Capital

Financial assets or the financial value of assets, such as cash and securities; also, factories, machinery, and equipment used to produce goods or services.

Production Outcomes

Production outcomes refer to the results of the production process, quantified in terms of quantity, quality, and efficiency of the goods or services produced.