Posted by Jon on Thursday, April 23, 2009 at 1:52pm.
Identify the graph of the equation 4x^225y^2=100. Then write the equation of the translated graph for T(5,2) in general form.
Might be another case of half right=all wrong.
I left off that it's a hyperbola
(xh)^2/a^2  (yk)^2/b^2 = 1
x^2/25  y^2/4 = 1

Math  Reiny, Thursday, April 23, 2009 at 3:34pm
x^2/25  y^2/4 = 1 is the correct simplification of the original hyperbola
now according to your transformation
T(5,2) I will asssume that you mean that
(x,y) > (x+5,y2)
so the original centre of (0,0) would move to (5,2) and your new equation is
[(x5)^2]/25  [(y+2)^2]/4 = 1