Question 1081690
<pre>
{{{f(x)= x^3-7x^2+18x-13}}}

Let {{{t = x-3}}}

{{{x = t+3}}}

{{{f(x)=f(t+3)=(t+3)^3-7(t+3)^2+18(t+3)-13}}}{{{""=""}}} 

{{{(t+3)(t+3)(t+3)-7(t+3)(t+3)+18(t+3)-13}}}

Multiply all that out, collect like terms, and you'll get

{{{f(x)=f(t+3)=t^3+2t^2+3t+5 = (x-3)^3+2(x-3)^2+3(x-3)+5}}}

Edwin</pre>