The graph of the function has a vertical asymptote of x = The graph of the function has a horizontal asymptote of y = On a coordinate plane, a hyperbola has curves in quadrant 1 and 3. The curve in quadrant 1 opens up and to the right and approaches the positive y-axis and positive x-axis. The curve in quadrant 4 opens down and to the left and approaches the negative x-axis and negative y-axis.