Question

5. Write x^2 + 8x = -4y - 8 in standard form. Identify the vertex, focus, axis

of symmetry, and directrix.

Answer 1

The answer to your question is:

Explanation:

Data

x² + 8x = -4y - 8

x² + 8x + 16 = -4y - 8 + 16

x² + 8x + 16 = -4y + 8

(x + 4)² = -4(y - 2)

(x + 4)² = 4(-1)(y - 2)

Vertex = (-4, 2)

p = 1

Focus = (-4, 1)

Axis of symmetry x = -4

Directrix y = 3