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

of symmetry, and directrix.

Question

Mathematics

Trystan Klein

5 May, 12:04

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

of symmetry, and directrix.

+5

Answers (1)

Know the Answer?

Samir · Answer 1

The answer to your question is:

Step-by-step 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

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

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

of symmetry, and directrix.