Find the focus of the parabola that has a vertex at (0, 0) and that passes through the points (4, 5) and (4, –5). a. p=(-25/16,0) b. p=(25/16,0) c. p=(0,-25/16) d. p=(100,0)

B. p=(25/16,0)

Step-by-step explanation:

(y - k)2 = 4p (x - h) is the equation of a parabola since the axis of symmetry is is along x=0

Where   (h,k) is the center

and (h+p, k) is the focus

The vertex is 0,0  so h and k are 0

(y - k)2 = 4p (x - h)

y^2 =4p (x)

We can use one of the points to determine p

5^2 =4*p*4

25 = 16p

Divide by 16

25/16 =p

focus = (25/16,0)

astronomers is your final answer! : )