Center and radius x2 + (y + 11) 2 = 25

x^2 + (y=11) 2 = 25

Step-by-step explanation:

Rewrite the equation in vertex form.

y = - 1/2 (x+0) ^2+3/2

Use the vertex form, y=a (x-h) ^2+k, to determine the values of a, h, and k

a = - 1/2

h = 0

k = 3/2

since the values of a is negative, the parabola opens down

find the vertex (h, k)

(0,3/2)

find p, the distance from the vertex to the focus

-1/2

find the focus

(0,1)

find the axis of symmetry by finding the line that passes through the vertex and the focus

x=0

find the directrix

y=2

use the properties of the parabola to analyze and graph the parabola

direction:opens down

vertex: (0,3/2)

focus: (0,1)

directrix: y=2