Find an Equation in Standard Form for the Hyperbola That $( \pm 3,0 )$

question 18

Multiple Choice

Find an equation in standard form for the hyperbola that satisfies the given conditions.
-Vertices at $( \pm 3,0 )$ , foci at $( \pm 9,0 )$

• A) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 81 } = 1\)
• B) \(\frac { x ^ { 2 } } { 72 } - \frac { y ^ { 2 } } { 9 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 72 } = 1\)

---

Definitions:

Present Value

Today's value of a future monetary amount or a string of cash flows, considering a specified rate of return.

Periodic Interest Rate

The interest rate charged or earned over a particular period of time, often monthly, quarterly, or annually, as opposed to the annual percentage rate (APR).

Annuity

A retirement funding product that assures fixed payments over time to the receiver, primarily aimed at providing a stable income for retirees.

Payment Interval

The regularity with which payments are dispensed, for instance, on a monthly, quarterly, or yearly basis.