Question

Find the vertex, focus, directrix, and focal width of the parabola.

x2 = 20y

Answer 1

it is in standard form x2=4by
hence hre b=20/4=5
thus verex (0,0)
focus(0,5)
directrix is y+5=0
and focal width=4*5 units=20 units

Answer 2

Vertex: (0, 0); Focus: (0, 5); Directrix: y = -5; Focal width: 20

Vertex: (0, 0); Focus: (5, 0); Directrix: x = 5; Focal width: 5

Vertex: (0, 0); Focus: (5, 0); Directrix: y = 5; Focal width: 80

Vertex: (0, 0); Focus: (0, -5); Directrix: x = -5; Focal width: 80

Answer 3

@matricked

Answer 4

Vertex: (0, 0); Focus: (0, 5); Directrix: y = -5; Focal width: 20

Answer 5

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.

Answer 6

y =1/28 x2

x = 1/28 y2

-28y = x2

y2 = 14x

Answer 7

@matricked