Convert the Equation to the Standard Form for a Hyperbola $$x ^ { 2 } - y ^ { 2 } - 2 x + 4 y - 4 = 0$$

question 92

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square.
- $$x ^ { 2 } - y ^ { 2 } - 2 x + 4 y - 4 = 0$$

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

---

Definitions:

Clinic Waiting Time

Clinic waiting time refers to the duration a patient has to wait from their scheduled appointment time until they are seen by a healthcare provider.

Population Variances

Measures of the dispersion of a population's data points, reflecting how data points spread out from the mean.

Confidence

In statistics, confidence refers to the probability that a parameter lies within a specified interval estimate.

Confidence Interval Estimate

The specific range estimated from the sample data within which the true value of a population parameter is expected to fall with a certain level of confidence.