[b]Parábola: [/b]Una parábola es el conjunto de todos los puntos (x, y) equidistantes de una recta fija llamada directriz y de un punto fijo, fuera de dicha recta, llamado foco. El punto medio entre[br]el foco y la directriz es el vértice, y la recta que pasa por el foco y el vértice es el eje de[br]la parábola.[br][br][img]data:image/png;base64,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[/img][br][b]Ec. canónica: [math]\left(x-h\right)^2=4p\left(y-k\right)[/math][br][/b][br][b]Elipse: [/b]Una elipse es el conjunto de todos los puntos (x, y), cuya suma de distancias a dos[br]puntos fijos llamados focos es constante. La recta que une a los focos[br]interseca o corta a la elipse en dos puntos, llamados vértices. La cuerda que une a los vértices es el eje mayor, y su punto medio es el centro de la elipse. La cuerda a través del[br]centro, perpendicular al eje mayor, es el eje menor de la elipse. [br][br][img]data:image/png;base64,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[/img][br][b]Ec. canónica: [math]\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)}{b^2}=1[/math][br][/b][br][br][b]Hipérbola: [/b]Una hipérbola es el conjunto de todos los puntos (x, y) para los que el valor absoluto de la diferencia entre las distancias a dos puntos fijos llamados focos es constante. La recta que pasa por los dos focos corta a la hipérbola en dos puntos llamados vértices. El segmento de recta que une a los vértices es el eje transversal, y el punto medio del eje transversal es el centro de la hipérbola. Un rasgo distintivo de la hipérbola es que su gráfica tiene dos ramas separadas.[br][br][img]data:image/png;base64,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[/img][br][b]Ec. canónica: [math]\frac{\left(x-h\right)^2}{a^2}=\frac{\left(y-k\right)^2}{b^2}=1[/math][br][/b][br][br][b]Circulo:[/b] Un círculo es el lugar geométrico de los puntos del plano cuya distancia a otro punto fijo, llamado centro, es menor o igual que una cantidad constante, llamada radio.[br][br][img]data:image/png;base64,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[/img][br][b]Ec. canónica: [math]\left(x-h\right)^2+\left(y-k\right)^2=r^2[/math][br][/b]