Question 68611
The squares of the variables are subtracted from one another ... hyperbola
{{{4x^2 - 9y^2 - 16x - 20 = 0}}}
{{{4x^2 - 16x - 9y^2 = 20}}}
{{{4(x^2 - 4x) - 9(y^2) = 20}}}
{{{4(x - 2)^2 - 9(y)^2 = 36}}}
{{{4(x - 2)^2/36 - 9(y)^2/36 = 1}}}
{{{(x - 2)^2/9 - (y)^2/4 = 1}}}
Center: (2,0)
a = 3
Verticies: (-1,0) and (5,0)
Horizontal Transverse Axis
{{{graph(300,300,-10,10,-10,10,sqrt(-4 + 4(x - 2)^2/9),-sqrt(-4 + 4(x - 2)^2/9))}}}