Find the Foci for the Hyperbola $y ^ { 2 } - 2 y - 4 x ^ { 2 } - 16 x = 15$

question 80

Multiple Choice

Find the foci for the hyperbola. $y ^ { 2 } - 2 y - 4 x ^ { 2 } - 16 x = 15$

• A) \(F ( 0,1 \pm \sqrt { 5 } )\)
• B) \(F ( - 1,2 \pm \sqrt { 5 } )\)
• C) \(F ( - 1,5 \pm \sqrt { 5 } )\)
• D) \(F ( 2,1 \pm \sqrt { 5 } )\)
• E) none

---

Definitions:

Exponential Growth

Growth of a population or process at a rate proportional to its current value, leading to rapid increases over time.

National Parks Act

Legislation aimed at protecting natural areas of significant ecological, cultural, or scenic value, by restricting development and preserving the land for conservation and public enjoyment.

Sierra Club

An environmental organization focused on protecting natural places and promoting responsible use of the Earth's ecosystems.

Native Cultures

The customs, traditions, and way of life of indigenous peoples who have historically inhabited certain regions or territories.