8. Conic Sections

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Identify the conic represented by the equation without completing the square. y^2 + 4x + 2y - 15 = 0

Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. (y-2)^2 = -16x

Find the standard form of the equation of the parabola satisfying the given conditions. Focus: (0,-11); Directrix: y=11

Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. y^2 = 8x

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In Exercises 1–4, find the 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^2 = 4x

In Exercises 1–4, find the 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^2 = 4y

In Exercises 1–4, find the 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^2 = - 4y

In Exercises 1–4, find the 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^2 = - 4x

In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola.y^2 = 16x

In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola.y^2 = - 8x

In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola.x^2 = 12y

In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola.x^2 = - 16y

In Exercises 5–16, find the focus and directrix of the parabola with the given equation. Then graph the parabola.y^2 - 6x = 0