SOLUTION: use the eccentricity of each hyperbola to find its equation in standard form eccentricity 4 , vertices (-1,3) and (-1,7)

Question 715112: use the eccentricity of each hyperbola to find its equation in standard form eccentricity 4 , vertices (-1,3) and (-1,7)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
use the eccentricity of each hyperbola to find its equation in standard form eccentricity 4 , vertices (-1,3) and (-1,7)
**
Standard form of equation for a hyperbola with vertical transverse axis:
, (h,k)=(x,y) coordinates of center
..
x-coordinate of center=-1
y-coordinate of center= (3+7)/2=5 (midpoint formula)
center:(-1,5)
..
length of vertical transverse axis=4 (3 to 7)=2a
a=2
a^2=4
..
c=distance from center to foci
Eccentricity=4=c/a
c=4a
..
c^2=a^2+b^2
16a^2=a^2+b^2
b^2=16a^2-a^2=15a^2
..
equation of given hyperbola:

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

Find the equation in standard form of a hyperbola with vertices (1,-3) and (-5,-3 and... (answered by lwsshak3)

how can I solve this use the eccentricity of each hyperbola to find its equation in... (answered by KMST,Edwin McCravy)

Use the eccentricity of the ellipse to find the equation in the standard form. From the... (answered by lwsshak3)

Determine the equation of an ellipse in standard form with the given vertices (-3,5) and... (answered by lwsshak3)

the endpoints of major and minor axes of an ellipse are (1,1),(3,4),(1,7)and(-1,4).sketch (answered by solver91311,MathLover1)

find the equation of the ellipse in general form with vertices at (-2,1) and (4,1) with... (answered by MathLover1)

Calculate the eccentricity e of the ellipse. (Enter your answer in exact form.) Vertices (answered by Edwin McCravy)

Please help me solve this problem Convert the General Equation... (answered by MathLover1)