x2/172 - y2/b2 = 1 for some constant b.
you
x2/242-y2/62=1
y2/52 - x2/72 = 1
x^2/11^2 - y^2/5^2
True
you
y2/52 - x2/72 = 1
x2/242-y2/62=1
x2/242-y2/62=1
x^2/11^2 - y^2/5^2
y^2/15^2 - x^2/6^2 = 1
True
true
x2/132-y2/152=1
The length of the transverse axis of a hyperbola is given by the expression ( 2a ), where ( a ) is the distance from the center of the hyperbola to each vertex along the transverse axis. For a hyperbola centered at the origin with the standard form ( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 ) (horizontal transverse axis) or ( \frac{y^2}{a^2} - \frac{x^2}{b^2} = 1 ) (vertical transverse axis), the value of ( a ) determines the extent of the transverse axis. Thus, the transverse axis length varies directly with ( a ).
The length of the transverse axis of a hyperbola is determined by the distance between the two vertices, which are located along the transverse axis. For a hyperbola defined by the equation ((y - k)^2/a^2 - (x - h)^2/b^2 = 1) (vertical transverse axis) or ((x - h)^2/a^2 - (y - k)^2/b^2 = 1) (horizontal transverse axis), the length of the transverse axis is (2a), where (a) is the distance from the center to each vertex.
difference between