SOLUTION: A hyperbola with a horizontal transverse axis contains the point at (4, 3). the equation of the asymptotes are x-y=1 and y+x=5. Write an equation for the hyperbola I am complete

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A hyperbola with a horizontal transverse axis contains the point at (4, 3). the equation of the asymptotes are x-y=1 and y+x=5. Write an equation for the hyperbola I am complete      Log On


   

Question 881602: A hyperbola with a horizontal transverse axis contains the point at (4, 3). the equation of the asymptotes are x-y=1 and y+x=5. Write an equation for the hyperbola
I am completely lost D:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Need to Know...............................................................

Standard Form of an Equation of a Circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2 

Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ 

Standard Form of an Equation of an Hyperbola opening up and down is:%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1 

Standard Form of an Equation of an Hyperbola opening right and  left is: %28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1 

the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk

 the vertex form of a Parabola opening right(a>0) or left(a<0), x=a%28y-k%29%5E2+%2Bh

Hyperbola: horizontal transverse axis contains the point at (4, 3).

 %28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1 

asymptotes: y = x+1, y =  -x + 5,  b/a = 1  0r b=a   

& x+1 = -x+5, x = 2 and y = 3  C(2,3)

 %28x-2%29%5E2%2Fa%5E2+-+%28y-3%29%5E2%2Fa%5E2+=+1 P(4,3)

 4%2Fa%5E2++=+1, a^2 = 4

%28x-2%29%5E2%2F4-+%28y-3%29%5E2%2F4+=+1