0
What is the equation for a hyperbola with transverse axis of length 24 and centered at the origin?
The standard form of the equation of a hyperbola with center at the origin is
x2/a2 - y2/b2 = 1 where the transverse axis lies on the x-axis,
or
y2/a2 - x2/b2 = 1 where the transverse axis lies on the y-axis.
The vertices are a units from the center and the foci are c units from the center.
For both equations, b2 = c2 - a2. Equivalently, c2 = a2 + b2.
Since we know the length of the transverse axis (the distance between the vertices), we can find the value of a (because the center, the origin, lies midway between the vertices and foci).
Suppose that the transverse axis of our hyperbola lies on the x-axis.
Then, |a| = 24/2 = 12
So the equation becomes x2/144 - y2/b2 = 1.
To find b we need to know what c is.
What else can I help you with?
What is the equation of a hyperbola that has a transverse axis of length 28 and is centered at the origin?
you
If a hyperbola has a transverse axis of length 10 and is centered at the origin what is the equation?
y2/52 - x2/72 = 1
What is the equation for a hyperbola that has a transverse axis length of 24 and is centered at the origin?
x2/242-y2/62=1
The hyperbola has a transverse axis of length 34 and is centered at the origin what is its equation?
x2/172 - y2/b2 = 1 for some constant b.
What is the equation for a hyperbola with a transverse axis of length 22 and centered at the origin?
x^2/11^2 - y^2/5^2
What is the equation of a hyperbola that has a transverse axis of length 28 and is centered at the origin?
you
What is the equation of a hyperbola that has a transverse axis of length 24 and is centered at the origin?
x2/242-y2/62=1
If a hyperbola has a transverse axis of length 10 and is centered at the origin what is the equation?
y2/52 - x2/72 = 1
What is the equation for a hyperbola that has a transverse axis length of 24 and is centered at the origin?
x2/242-y2/62=1
The hyperbola has a transverse axis of length 34 and is centered at the origin what is its equation?
x2/172 - y2/b2 = 1 for some constant b.
What is the equation for a hyperbola with a transverse axis of length 22 and centered at the origin?
x^2/11^2 - y^2/5^2
What would the equation for a hyperbola centered at the origin that has a transverse axis length of 30?
y^2/15^2 - x^2/6^2 = 1
In the standard equation for a hyperbola that opens left and right the value b equals half the length of the hyperbola's transverse axis?
True
In the standard equation for a hyperbola that opens up and down the value b equals half the length of the hyperbola's transverse axis?
true
What is the equation of a hyperbola that has a transverse axis of length 26?
x2/132-y2/152=1
What expression gives the length of the transverse axis of the hyperbola?
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 a hyperbola's transverse axis is equal to the the distances from any point on the hyperbola to each focus.?
difference between
