College Algebra

Find an equation for the hyperbola whose graph is below. Use the center, vertices, and asymptotes to graph the hyperbola. Locate the foci and find the equations of N the asymptotes. a (x+ 2) (y+4)2 16 25 =1 b (+ 2)2 (x- 1)2 9 25 Convert the equation to standard form by completing the square on x and y. Then, graph the hyperbola. Locate the foci and find the equations of the asymptotes. 9x - 4y - 36x + 40y - 100 = 0 4X?-25y? - 8x +104=0 Find the focus and directrix of the parabola with the given equation. Then graph the parabola. a y" = 12x by' = -20x 5 Find the standard form of the equation of the parabola satisfying the given conditions. Focus: (9,0); Directrix: x = - 9 Find the standard form of the equation of the parabola satisfying the given conditions. Focus: (0,9); Directrix: y = - 9