Question 110809




{{{f(x)=x^3}}} Start with the given  function

{{{f((x+3))=(x+3)^3}}}Replace x with {{{(x+3)}}} to shift the graph 3 units to the left


Here is the graph

{{{drawing( 500, 500, -5, 5, -5, 5,
         grid(1),
         arrow(0,0,-3,0),
         graph( 500, 500, -5, 5, -5, 5,x^3, (x+3)^3),
         circle(-3,0,0.05),
         circle(-3,0,0.08),
         circle(0,0,0.05),
         circle(0,0,0.08)
)}}}graph of the original equation {{{y=x^3}}} (red) and the shifted equation {{{y=(x+3)^3}}}(green)