Final answer:
To find the vertices of a hyperbola with a horizontal transverse axis, use the general equation x^2/a^2 - y^2/b^2 = 1. The vertices are located at (± a, 0), where a is the distance from the center to each vertex along the x-axis.
Step-by-step explanation:
To find the vertices for the horizontal transverse axis of a hyperbola, we can start with the general equation of a hyperbola with a horizontal transverse axis:
x2/a2 - y2/b2 = 1
Where a is the distance from the center to each vertex along the x-axis, and b is the distance from the center to each vertex along the y-axis. The coordinates of the vertices are (± a, 0). So, the vertices of a hyperbola with a horizontal transverse axis can be found by taking the square root of a, and using the positive and negative values for x:
(± √a, 0)