Question 46294
Horizontal transverse axis means that the hyperbola is horizontal.
The slope for the asymptotes would be: b/a
b = 2
a = 3
The center is (0,0) because the asymptote's y-intercept is zero.
Vertices: (-3,0) and (3,0)
{{{((x - h)^2)/a^2 - ((y - k)^2)/b^2 = 1}}}
{{{(x^2)/9 - (y^2)/4 = 1}}}
{{{graph(600,600,-10,10,-10,10,sqrt(4x^2/9 - 4),-sqrt(4x^2/9 - 4),(2/3)x,(-2/3)x)}}}