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:

Fixed-Ratio Schedule

A reinforcement schedule in behaviorism where a response is reinforced only after a specified number of responses.

Reinforcement Schedule

A rule or plan that outlines how often a behavior will be reinforced, crucial in the field of behavioral psychology to shape or modify behaviors.

Dress Factory

A manufacturing facility where dresses are produced in large quantities.

Discriminative Stimulus

A stimulus in the presence of which a particular response is more likely to be reinforced, and in the absence of which a response is not reinforced.