Find the Standard Form of the Equation of the Hyperbola $\frac { 4 } { 5 }$

question 20

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (-10,-2) , (0,-2)
Asymptotes: y = ± $\frac { 4 } { 5 }$ x
​

• A) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 16 } = 0\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } + \frac { ( y + 2 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y + 5 ) ^ { 2 } } { 25 } - \frac { ( x + 2 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( y - 2 ) ^ { 2 } } { 25 } - \frac { ( x + 2 ) ^ { 2 } } { 16 } = 1\)
• E) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 16 } = 1\)

---

Definitions:

Repertory Grid

A technique in psychology used for uncovering the ways individuals interpret their experiences and the world around them, originally developed within personal construct psychology.

Neuroses

A range of psychological disorders characterized by anxiety, depression, or other feelings of distress but without delusions or hallucinations.

Emotional Aspects

Components or dimensions of human emotions, including their triggers, physiological responses, expressions, and psychological effects.

Human Functioning

The range of human activities and capacities, including physical, cognitive, emotional, and social aspects.