8. Conic Sections

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.Focus: (- 5, 0); Directrix: x = 5

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.Focus: (0, 15); Directrix: y = - 15

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.Focus: (0, - 25); Directrix: y = 25

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.Vertex: (2, - 3); Focus: (2, - 5)

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.Focus: (3, 2); Directrix: x = - 1

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.Focus: (- 3, 4); Directrix: y = 2

In Exercises 31–34, find the vertex, focus, and directrix of each parabola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d).(y - 1)^2 = 4(x - 1)

In Exercises 31–34, find the vertex, focus, and directrix of each parabola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d).(x + 1)^2 = - 4(y + 1)

In Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola.(x - 2)^2 = 8(y - 1)

In Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola.(x + 1)^2 = - 8(y + 1)

In Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola.(y + 3)^2 = 12(x + 1)

In Exercises 35–42, find the vertex, focus, and directrix of each parabola with the given equation. Then graph the parabola.(y + 1)^2 = - 8x

In Exercises 43–48, convert each equation to standard form by completing the square on x or y. Then find the vertex, focus, and directrix of the parabola. Finally, graph the parabola.x^2 - 2x - 4y + 9 =0

In Exercises 43–48, convert each equation to standard form by completing the square on x or y. Then find the vertex, focus, and directrix of the parabola. Finally, graph the parabola.y^2 - 2y + 12x - 35 = 0