SOLUTION: Use the information provided to write the standard form equation of each hyperbola. Vertices: (-2, 8), (-2,-2) Endpoints of Conjugate Axis:(8,3) (-12,3)

Question 694202: Use the information provided to write the standard form equation of each hyperbola. Vertices: (-2, 8), (-2,-2) Endpoints of Conjugate Axis:(8,3) (-12,3)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Use the information provided to write the standard form equation of each hyperbola. Vertices: (-2, 8), (-2,-2) Endpoints of Conjugate Axis:(8,3) (-12,3)
**
This is a hyperbola with vertical transverse axis (y-coordinates of vertices change but x-coordinates do not)
Its standard form of equation: , (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (-2,3) (midpoints of changing x and y-coordinates)
length of vertical transverse axis=10(-2 to 8)=2a
a=5
a^2=25
length of conjugate axis=20 (-12 to 8)=2b
b=10
b^2=100
Equation of given hyperbola:
RELATED QUESTIONS
use the information provided to write the standard form equation of each hyperbola... (answered by stanbon)

Use the information provided to write the standard form equation [(x^2/b^2)+ (y^2/a^2)=1] (answered by josgarithmetic)

Use the information provided to write the standard form equation of each hyperbola, give... (answered by lwsshak3)

Using the given information to find the equation, in standard form, of the hyperbola. (answered by greenestamps)

Use the information provided to write the stander form equation of each circle. 1.... (answered by ewatrrr)

Use the information provided to write the standard form of the ellipse: Vertices:... (answered by KMST,jsmallt9)

use the eccentricity of each hyperbola to find its equation in standard form eccentricity (answered by lwsshak3)

Write the equation in standard form of the hyperbola with vertices (-3, 2) and (1, 2) and (answered by lwsshak3)

use the information provided to write the vertex form equation of each parabola.... (answered by lwsshak3)