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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/08%3A_Hooked_on_Conics/8.05%3A_HyperbolasThis section explains the properties and equations of hyperbolas, focusing on their standard form, asymptotes, vertices, and foci. It describes how to identify and graph hyperbolas, distinguishing the...This section explains the properties and equations of hyperbolas, focusing on their standard form, asymptotes, vertices, and foci. It describes how to identify and graph hyperbolas, distinguishing them from other conic sections. Examples demonstrate how to find key features and write equations for hyperbolas in various orientations.
- https://math.libretexts.org/Courses/Northeast_Wisconsin_Technical_College/College_Algebra_(NWTC)/06%3A_Conic_Sections/6.05%3A_HyperbolasIn the definition of an ellipse, we fixed two points called foci and looked at points whose distances to the foci always added to a constant distance \(d\). Those prone to syntactical tinkering may wo...In the definition of an ellipse, we fixed two points called foci and looked at points whose distances to the foci always added to a constant distance \(d\). Those prone to syntactical tinkering may wonder what, if any, curve we'd generate if we replaced added with subtracted. The answer is a hyperbola.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/08%3A_Hooked_on_Conics/8.05%3A_HyperbolasIn the definition of an ellipse, we fixed two points called foci and looked at points whose distances to the foci always added to a constant distance \(d\). Those prone to syntactical tinkering may wo...In the definition of an ellipse, we fixed two points called foci and looked at points whose distances to the foci always added to a constant distance \(d\). Those prone to syntactical tinkering may wonder what, if any, curve we'd generate if we replaced added with subtracted. The answer is a hyperbola.
