The parent function f(x)=x3 and a translation, g(x), are shown on the graph. Which represents g(x), then the translated function?

ANSWERThe correct answer is AEXPLANATIONThe parent function is [tex]f(x) = {x}^{3} [/tex]The function g(x) is obtained by shifting the graph of the parent function, 4 units left and 6 units up.Therefore the transformation is of the form:[tex]g(x) = f(x + 4) + 6[/tex]Hence the transformed function has equation:[tex]g(x) = {(x + 4)}^{3} + 6[/tex]The correct answer is A