SOLUTION: Find the EQUATION for the conic with given: Vertices (4,0);(4,4) One Asymptote EQS >> y= -2x+10 Missed a few days of class, having trouble!

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the EQUATION for the conic with given: Vertices (4,0);(4,4) One Asymptote EQS >> y= -2x+10 Missed a few days of class, having trouble!      Log On


   

Question 77889: Find the EQUATION for the conic with given:
Vertices (4,0);(4,4)
One Asymptote EQS >> y= -2x+10
Missed a few days of class, having trouble!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
this is a hyperbola of the form %28%28%28y-k%29%5E2%29%2F%28a%5E2%29%29-%28%28%28x-h%29%5E2%29%2F%28b%5E2%29%29=1with (h,k) being the center of the graph (mid-way between the vertices)

a is equal to 1/2 the distance between the vertices; and the absolute value of the slope of the asymptote is a/b

so h=4, k=2, a=2, and b=1...the equation is %28%28%28y-2%29%5E2%29%2F4%29-%28%28%28x-4%29%5E2%29%2F1%29=1