Sketch the Graph of the Equation $x ^ { 2 } + 4 x + y ^ { 2 } + 6 y - 2 = 0$

question 98

Multiple Choice

Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and
radius.
- $x ^ { 2 } + 4 x + y ^ { 2 } + 6 y - 2 = 0$

• A) center \(( - 2 , - 3 )\); radius \(= 15\)
• B) center \(( 2 , - 3 )\); radius \(= \sqrt { 15 }\)
• C) center \(( - 2 , - 3 )\); radius \(= \sqrt { 15 }\)
• D) center \(( 2,3 )\); radius \(= \sqrt { 15 }\)

---

Definitions:

Rosetta Stone

An ancient Egyptian granodiorite stele inscribed with a decree in three scripts, key to deciphering Egyptian hieroglyphs.

Napoleon

A French military leader and emperor who rose to prominence during the French Revolution and led several successful campaigns during the Napoleonic Wars.

Expedition

An organized journey or voyage undertaken by a group of people with a particular purpose, especially that of exploration, research, or war.

Deir El-Bahri

An architectural complex in Luxor, Egypt, notably the site of Hatshepsut’s mortuary temple, showcasing the pinnacle of ancient Egyptian architectural and artistic ingenuity.