Answer:
[tex]h(x)=\sqrt[3]{x+2}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=\sqrt[3]{x}[/tex]
The inflection point of f(x) is the point [tex](0,0)[/tex]
The inflection point of h(x) is the point [tex](-2,0)[/tex] -----> see the given graph
so
the rule of the translation of f(x) to h(x) is
[tex](x,y)------> (x-2,y)[/tex]
That means------> The translation is [tex]2[/tex] units to the left
therefore
The equation of h(x) is equal to
[tex]h(x)=\sqrt[3]{x+2}[/tex]
