If the Equation Represents a Hyperbola, Find the Center, Foci $$\mathrm { y } ^ { 2 } + 4 \mathrm { x } + 2 \mathrm { y } - 3 = 0$$

question 364

Multiple Choice

If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix.
- $$\mathrm { y } ^ { 2 } + 4 \mathrm { x } + 2 \mathrm { y } - 3 = 0$$

• A) F: \(\left( \frac { 3 } { 4 } , - 1 \right) ; \mathrm { D } : \mathrm { y } = \frac { 5 } { 4 }\)
• B) F: \(( 0 , - 1 ) ;\) D: \(x = 2\)
• C) \(\mathrm { F } : ( 2,1 ) ; \mathrm { D } : \mathrm { y } = 0\)
• D) F: \(( - 3,1 ) ;\) D: \(\mathrm { y } = - 5\)

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Definitions:

Net Present Value Method

A method used in capital budgeting to evaluate the profitability of an investment or project by calculating the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

Desired Rate of Return

The minimum expected yield by investors for their investment, reflecting the risk level and opportunity cost.

Initial Investment

The amount of money put into a project or investment at the beginning, before any returns are realized.

Inflation

A period when prices in general are rising and the purchasing power of money is declining.