I have to shift this equation to the right 3 units and then up 2 units. My original equation is in the number 1 box in Desmos. The equation is y=\sqrt{x^{3}-x}
2026-04-11 10:49:46.1775904586
Did I solve this graph transformation correctly?
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If $f(x)=\sqrt{x^{3}-x},$ then for a shift to the right $3$ units and then up $2$ units you have $$f(x-3)+2.$$
This gives $f(x-3)+2=\sqrt{(x-3)^{2}-(x-3)}+2. $ (Here for the graph)