Convert the Equation to the Standard Form for an Ellipse $$16 x ^ { 2 } + 4 y ^ { 2 } + 32 x + 24 y - 12 = 0$$

question 4

Multiple Choice

Convert the equation to the standard form for an ellipse by completing the square.
- $$16 x ^ { 2 } + 4 y ^ { 2 } + 32 x + 24 y - 12 = 0$$

• A) \(\frac { ( x + 3 ) ^ { 2 } } { 4 } + \frac { ( y + 1 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( x + 1 ) ^ { 2 } } { 4 } + \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 3 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( x + 1 ) ^ { 2 } } { 16 } + \frac { ( y + 3 ) ^ { 2 } } { 4 } = 1\)

---

Definitions:

Instrument Tray

A sterile setup used by healthcare providers to organize and store surgical instruments and medical supplies during a procedure.

Scalpel Blade

A small, sharp blade used in surgery for making incisions, typically attached to a scalpel handle.

Swaged Needle

A suturing needle that has the suture material permanently attached to the needle.

Sterile Equipment

Medical tools and devices that have been treated to remove all forms of bacteria, viruses, and other pathogens to prevent infection.