Question 1158487
{{{y=a*root(3,x-h)}}} has a graph that crosses the x-axis at {{{x=h}}}.
The function increases for {{{a>0}}} , like {{{y=root(3,x-1)}}}: {{{graph(300,300,-5,5,-5,5,(x-1)^(1/3),-(1-x)^(1/3))}}} ,
and decreases for {{{a<0}}} , like {{{y=-2root(3,x-1)}}}: {{{graph(300,300,-5,5,-5,5,-2*(x-1)^(1/3),2*(1-x)^(1/3))}}} .
The greater the value of {{{abs(a)}}} , the steeper the curve.
We can say something similar about {{{y=a*root(3,x-h)+k}}} , except that at {{{x=h}}}} the function crosses the line {{{y=k}}} ,
as for {{{y=root(3,x-1)+2}}}: {{{graph(300,300,-5,5,-5,5,(x-1)^(1/3)+2,-(1-x)^(1/3)+2,2)}}} , or {{{y=-2root(3,x-1)}}}: {{{graph(300,300,-5,5,-2,7,-2*(x-1)^(1/3)+2,2*(1-x)^(1/3)+2,2)}}}