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Hyperbola by Mind Map: Hyperbola

1. The hyperbola is defined in terms of the distance of two distances.

2. It has 2 axis of symmetry.

3. The transverse axis is the one that crosses through the center of the hyperbola and its endpoints (vertices).

4. The foci lie on the line that contains the transverse axis

5. The hyperbola has two asymptotes that pass through its center.

6. The difference of distance from the vertex to the foci is (a+c)-(c-a)=2a

7. D1= The distance from (-c,0) to (x,y)

8. D2=The distance from (c,0) to (x,y)

9. Standard Form x-axis : x^2/a^2-y^2/b^2=1

9.1. Where the length of the transverse axis is 2a

9.2. V(+-a,0)

9.3. Where the length of the conjugate axis is 2b

9.4. CoV(0,+-b)

9.5. The distance between the foci is 2c, where c^2=a^2+b^2

9.6. F(+-c,0)

10. Standard Form Y-axis: y^2/a^2-x^2/b^2=1

10.1. Where the length of the transverse axis is 2a

10.2. V(0,+-a)

10.3. Where the length of the conjugare axis is 2b

10.4. CoV(+-b,0)

10.5. The distance between the foci is 2x, where c^2=a^2+b^2

10.6. F(0,+-c)

11. Hania Faine López Álvarez A01731877