1. The equation y^2 4y 4x^2 + 13 = 0 will produce a hyperbola. How can we tell by simply observing the equation? In what directions do the branches of this hyperbola open? How do you know? Explain. Sketch a graph of this hyperbola, clearly indicating how you have determined the key characteristics (center, vertices, eccentricity, foci). Give the domain and range of this hyperbola.