<PRE><B>Question 394963</B>
the equation of hyperbola is given by f(x)= -4/x. write down the equations of the function that is formed when f is transformed as follows:1. shifts 2 units horizontally;(2)shifts 3 units vertically;(3)shift 1unit horizontally and -2 units vertically

The following graph shows what -4/x looks like before transformation:

{{{ graph( 300, 200, -6, 5, -10, 10, -4/x) }}}

 f(x) is transformed as follows with the given shifts:

 2 units horizontally to the right,-4/(x-2), to the left, -4/(x+2)
 3 units horizontally to the right,-4/(x-3), to the left, -4/(x+3)
 3 units vrtically up,(-4/x)+3, down,(-4/x)-3
 2 units vrtically up,(-4/x)+2, down,(-4/x)-2</PRE>