# Writing As a Transformation of the Reciprocal Parent Function

Write $$y=\frac{2}{3x-6}$$ in the form $$y=\frac{k}{x-b}+c$$

Supposedly simple, but how do you remove the coefficient of x in the denominator and get c? Thanks in advance.

• Take a factor of $3$ out of the denominator. $c$ may be zero. – George Coote Dec 13 '18 at 11:33
• I still don't quite understand what the end result should be? – SolvingTrainee Dec 13 '18 at 11:58
• It is awkwardly phrased. Write $\frac 2 {3x - 6} = \frac 2 {3(x - 2)} = \frac {\frac 2 3} {x - 2}$ then k, b, c = ? – George Coote Dec 13 '18 at 12:06