SOLUTION: find an equation of the hyperbola with vertices at (-6, 1) and (4, 1) and foci at (-8, 1) and (6, 1)

Question 716101: find an equation of the hyperbola with vertices at (-6, 1) and (4, 1) and foci at (-8, 1) and (6, 1)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find an equation of the hyperbola with vertices at (-6, 1) and (4, 1) and foci at (-8, 1) and (6, 1)
***
Standard form of a hyperbola with horizontal transverse axis:
, (h,k)=(x,y) coordinates of vertex.
y-coordinate of center=1
x-coordinate of center=(-6+4)/2=-1 (midpoint formula)
center: (-1, 1)
a=5 (distance from center to vertex, (-1 to - 6) on the horizontal transverse axis)
a^2=25
c=7 (distance from center to focus, (-1 to - 8) on the horizontal transverse axis)
c^2=49
c^2=a^2+b^2
b^2=c^2-a^2=49-25=24
Equation of given hyperbola:

RELATED QUESTIONS
find and equation for a hyperbola with vertices at (2,3) and (2,-1) and foci at (2,6)... (answered by lwsshak3)

Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) (answered by Edwin McCravy)

Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at... (answered by lwsshak3)

Write the equation of a hyperbola with vertices at (1,1) and (9, 1) and foci at (0, 1)... (answered by KMST)

6. find the center, vertices, and foci of the ellipse with the following equation: (answered by lynnlo)

Find the equation of the hyperbola with the following properties. Foci at (answered by greenestamps)

Find the equation of the hyperbola with vertices at (-1, -1) and (3, -1) and an equation... (answered by MathLover1)

find the equation in standard form of the hperbola with the foci at (-2,-5) and(6,-5) and (answered by Seutip)

I am taking an online class and it did not come with a book! If someone could at least... (answered by ewatrrr)