Determine the Two Equations Necessary to Graph the Hyperbola with a Graphing

question 241

Multiple Choice

Determine the two equations necessary to graph the hyperbola with a graphing calculator.
- $$y ^ { 2 } - 64 x ^ { 2 } = 64$$

• A) \(y = 8 \sqrt { x ^ { 2 } + 1 }\) and \(y = - 8 \sqrt { x ^ { 2 } + 1 }\)
• B) \(y = 8 + \sqrt { x ^ { 2 } }\) and \(- y = - 8 - \sqrt { x ^ { 2 } }\)
• C) \(y = 8 + \sqrt { x ^ { 2 } }\) and \(y = 8 - \sqrt { x ^ { 2 } }\)
• D) \(y = 8 x ^ { 2 } + 8\) and \(y = - 8 x ^ { 2 } - 8\)

---

Definitions:

Cash Dividend

A payment made by a corporation to its shareholders, usually in cash, out of its profits or reserves.

Basis

The amount of investment in property for tax purposes, used to calculate gain or loss upon sale or disposition of the property.

Subchapter S

A designation of corporation that meets specific Internal Revenue Service criteria, allowing it to be taxed as a pass-through entity, avoiding double taxation.

Taxable Income

The portion of a person's or a company's income used to determine how much tax is owed to the government.