Hi,

x^2/25 - y^2/24 = 1  C(0,0), Opening right and left along y = 0

Vertices (-5,0) and (5,0), foci (-7,0) and (7,0)

Note:  |sqrt(25 + 24)| = 7

Standard Form of an Equation of an Hyperbola opening right and  left is:

   with C(h,k) and vertices 'a' units right and left of center,   2a the length of the transverse axis

Foci are  units right and left of center along y = k

 

RELATED QUESTIONS

I need some help with the steps of this problem. Thank you for your time.
Find the... (answered by ewatrrr)

Find the coordinate of the vertices and foci and
the equation of the asymptotes for the... (answered by ikleyn)

Find the Vertices and the foci of the hyperbola.... (answered by lwsshak3)

What are the foci of the hyperbola given by the equation (x+10)^2/25 - (y+1)^2/9  = 1?  (answered by Edwin McCravy)

find the center, vertices, foci, and slopes of the asymptotes for each hyperbola whose... (answered by ewatrrr)

Find the vertices and foci of the hyperbola. Draw the graph. 
y^2/25 - x^2/21=1... (answered by lwsshak3)

Find the vertices and foci of the ellipse given by the equation
x^2/16 + y^2/64 =... (answered by KMST)

For the hyperbola represented by  [(y+2)^2]/4 - [x^2]/12=1  find the foci and... (answered by lwsshak3)

Find the center, vertices, and foci of the hyperbola given by the equation
(y-1)^2/9 -... (answered by ewatrrr)