Find the Standard-Form Equation of the Hyperbola Centered at the Origin

question 348

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Vertices at (0, 6) and (0, -6) ; foci at (0, 9) and (0, -9)

• A) \(\frac { y ^ { 2 } } { 45 } - \frac { x ^ { 2 } } { 36 } = 1\)
• B) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 81 } = 1\)
• C) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 45 } = 1\)
• D) \(\frac { y ^ { 2 } } { 81 } - \frac { x ^ { 2 } } { 36 } = 1\)

---

Definitions:

Shrinkage

the reduction in inventory due to factors such as theft, damage, or administrative errors, not sales.

Inventory Losses

The reduction in inventory due to factors such as theft, damage, or obsolescence, resulting in financial loss for a business.

Shoplifting

The unauthorized removal of goods from a retail establishment without payment, considered a form of theft.

Destructive Consumer Behaviours

Actions by consumers that intentionally or unintentionally cause harm to the product, environment, or other consumers.