Question

1. choose the best answer.

a number which measures the degree of curvature of a hyperbola is called the __ of a hyperbola.
twist
branch
eccentricity
curve

Explanation:

• Twist: Not a standard term related to measuring the degree of curvature of a hyperbola.
• Branch: Refers to the two separate parts of a hyperbola, not a measure of curvature.
• Eccentricity: For a hyperbola, the eccentricity \(e=\frac{c}{a}\) (\(c^{2}=a^{2}+b^{2}\) for the hyperbola \(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1\)). A higher eccentricity means a more "open" or "curved - out" hyperbola.
• Curve: A general term for the shape of the hyperbola, not a specific measure of its curvature degree.

Answer:

C. eccentricity