Question

write the quation of a hyperbola with the center at the orgin having verticies (0,-7) and (0,7) and the foci at (0,-9) and (0,-9)

Answer 1

thats not an equation of a hyperbola...

Answer 2

hold on... gimme a minute

Answer 3

it is y^2/49 -x^2/32 =1

Answer 4

how do you figure that out?

Answer 5

a = distance of vertex from center. so a=7
c = distance of focus from center =9
b^2 = c^2-a^2 = 81-49=32
since the vertices are (0,-7) and (0,7), it is symmetrical across the x axis
so it has the equation
y^2/a^2 - x^2/b^2 =1