Precalc

3. Answer the following questions based on the given conic equation: 9x2 + 4y2 + 36x - 8y + 4 = 0. a) What type of conic is it? b) What is the location of its center? c) Where are the vertices located? d) Where are the foci located? e) What is the equation of its directrix? 4. Given an ellipse with its centre located at (4, -2), vertices at (-1, -2) and (9, -2), and co- vertices at (4, 0) and (4, -4), determine the following: a) The standard equation b) The length of the major axis c) The length of the minor axis d) Domain and Range e) Foci f) Directrix 5. a) Determine the general equation of a hyperbola with the following characteristics: Length of Transverse Axis = 8 . Length of Conjugate Axis = 2 Center located at (-1, 3) Opens to the left/right