Write the Word or Phrase That Best Completes Each Statement $\frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { b ^ { 2 } } = 1$

question 6

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The equation $\frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ = 1 represents a hyperbola with a (horizontal / vertical) transverse axis. The vertices are given by the ordered pairs ________and________ . The asymptotes are given by the equations________ and________ .

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Definitions:

Replicable Data

Information obtained from experiments or research that can be duplicated or reproduced by others to verify results.

Unambiguous Predictions

Clear, precise, and easily interpretable forecasts that leave little to no room for multiple interpretations or ambiguity.

Falsifiable

A criterion for a theory or hypothesis that it can be proven wrong by observable data or experiment.

Correlation

A measure indicating the extent to which two or more variables fluctuate together, which can be positive, negative, or zero (no correlation).