SOLUTION: Help me to answer this question, please? General Equation and Graph of Hyperbola with: center (-3,2) transverse axis is 6 Latus Rectum is 8, the focus is Horizontal.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Help me to answer this question, please? General Equation and Graph of Hyperbola with: center (-3,2) transverse axis is 6 Latus Rectum is 8, the focus is Horizontal.      Log On


   

Question 971288: Help me to answer this question, please?
General Equation and Graph of Hyperbola with:
center (-3,2) transverse axis is 6
Latus Rectum is 8, the focus is Horizontal.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
General Equation and Graph of Hyperbola with:
center (-3,2) transverse axis is 6
Latus Rectum is 8, the focus is Horizontal.
***
Standard form of equation for a hyperbola with horizontal transverse axis and center at (-3,2):
%28x%2B3%29%5E2%2Fa%5E2-%28y-2%29%5E2%2Fb%5E2=1
length of transverse axis=6= 2a
a=3
a^2=9
..
latus rectum=2b^2/a
2b^2/a=8
2b^2=8a
b^2=4a
b^2=4*3=12
..
Equation: %28x%2B3%29%5E2%2F9-%28y-2%29%5E2%2F12=1