Question 881602
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Hi
Need to Know...............................................................
Standard Form of an Equation of a Circle is {{{(x-h)^2 + (y-k)^2 = r^2}}} 
Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} 
Standard Form of an Equation of an Hyperbola opening up and down is:{{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} 
Standard Form of an Equation of an Hyperbola opening right and  left is: {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
the vertex form of a Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}}
 the vertex form of a Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}
Hyperbola: <u>horizontal transverse axis </u>contains the point at (4, 3).
 {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 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)
 {{{(x-2)^2/a^2 - (y-3)^2/a^2 = 1}}} P(4,3)
 {{{4/a^2  = 1}}}, a^2 = 4
{{{(x-2)^2/4- (y-3)^2/4 = 1}}}