(a) Describe fully a single transformation that maps the graph of y = 1/ x
onto the graph of y = 3/ x
-
(c) Find the values of the constant c for which the straight line y = c - 3x is a
tangent to the curve y = 3/ x
I can't think of a way to solve a nor c :L
Part a) is like y=f(x) --> y=3f(x) therefore it's a vertical stretch of scale factor 3.
Part c) find dy/dx of both the equations and then equate them since gradients must be equal for it to be a tangent.
1)dy/dx=-3
2)y=3x
-1dy/dx=-3x
-2Therefore 3x
-2 = 3
x=0
Nevermind, I seem to be doing the wrong thing :|
Wait x is not zero it's -1 & + 1
Whoops
okay so you get x
put it in the second equation
you get y= + or - 3
Now put that in the first equation
c-3(1) =3
c=6
or
c-3(-1)=-3
c=-6
Hope it's the rigth answer. (: