How do you identify the vertices, foci, and direction of #x^2/121-y^2/36=1#?
Given the equation of a hyperbola with a transverse horizontal axis:
The vertices are:
The foci are:
Note: A horizontal transverse type has a positive x and a negative y term, in a form that is equal to 1, and a vertical transverse type has a negative x term and a positive y term, in a form that is equal to 1.
Write in the standard form:
Now, we can write the vertices by observation:
Now, we can write the foci with the same ease: