# Math Help - Questions on graph transformations...

1. ## Questions on graph transformations...

2)
The equation of a graph is y = (ax)/(bx-1), and y= c is the horizontal asymptote while x = d is the vertical asymtote of this graph. Given that c = d = 1/2, what are the values of a and b?

3) Given the graph of y = (ax)/(bx-1), what transformations do I need to perform on the graph to obtain the graph of y = |(ax)/(bx+1)|?

4) The curve of y = x^2 + (3/x) undergoes a reflection about the line y=4 and the point (2, 5.5) is mapped onto (2, 2.5). Hence find the equation of the new curve in the form y = f(x).

Thank you!

2. 2)
For vertical asymptote:
make the denominator equal to zero
so you'll have: bx-1=0
now solve for x, x=1/b
now make x=1/2
so, 1/b=1/2
therefore b=2

now for the horizontal asymptotes, make x go to infinity on the numerator and denominator, so you will end up pretty much with:
ax/bx, x's go away and now you have:
a/b, you know b=2, so: a/2 must be equal to 1/2
so a=1