1Cademy - Standard Form of a Horizontal Hyperbola with Center $$(0, 0)$$

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Hyperbola

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Standard Form of a Horizontal Hyperbola with Center $(0, 0)$

For a hyperbola centered at the origin, $(0, 0)$ , if the $x^2$ -term is positive, its transverse axis lies on the $x$ -axis and its branches open left and right. The standard form of this equation is $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ . The hyperbola has vertices and $x$ -intercepts at $(-a, 0)$ and $(a, 0)$ , and it has no $y$ -intercepts.