SOLUTION: Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5).
My incorrect answer was (x-4)^2/4 - (y+5)^2/5 = 1
Algebra.Com
Question 611774: Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5).
My incorrect answer was (x-4)^2/4 - (y+5)^2/5 = 1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5)
**
This is an equation of a hyperbola with horizontal transverse axis.
Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
x-coordinate of center=4 (midpoint between (1 and 7) or (2 and 6)
y-coordinate of center=5
center:(4,5)
length of horizontal transverse axis=4( from 2 to 6)=2a
a=2
a^2=4
2c=6 (from1 to 7)
c=3
c^2=9
c^2=a^2+b^2
b^2=c^2-a^2=9-4=5
Equation of given hyperbola:
(x-4)^2/4-(y-5)^2/5=1
you just missed the sign in the y-term
RELATED QUESTIONS
Write the equation of a hyperbola with foci at (3, -3) and (3, 7) and vertices at (3, -1) (answered by MathLover1)
Find the equation of the hyperbola with vertices at (-4,2)
and (0,2) and foci at (-5,2) (answered by Edwin McCravy)
Write an equation of a hyperbola with the given foci and vertices
Foci (0,+-13),... (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)
write the equation of a hyperbola with vertices at (3,-1) and (3,-9) and co-vertices at... (answered by MathLover1)
Find the equation of the hyperbola with the following properties.
Foci at (answered by greenestamps)
Write the equation of a hyperbola with vertices (0,-4) and (0,4) and foci (0,-5) and... (answered by lwsshak3)
write an equation for the conic sections
5. ellipse with center at (0,0) vertex (-4,0) (answered by ewatrrr)
6. find the center, vertices, and foci of the ellipse with the
following equation:
(answered by lynnlo)