What are the shifts of the graph f(x)=(x-15)^3+7 from the parent graph of f(x)=x^3 ? Right 15 and Up 7 Left 15 and Down 7 Right 15 and Down 7 Left 15 and Up 7

To determine the shifts of the graph of $f(x)=(x-15)^{3}+7$ from the parent graph of $f(x)=x^{3}$, we need to analyze the transformations applied to the parent function.<br /><br />The general form of a cubic function is $f(x)=a(x-h)^{3}+k$, where $(h,k)$ represents the coordinates of the vertex of the cubic graph.<br /><br />In the given function $f(x)=(x-15)^{3}+7$, we can see that $h=15$ and $k=7$. This means that the graph of $f(x)=(x-15)^{3}+7$ is shifted 15 units to the right and 7 units up from the parent graph of $f(x)=x^{3}$.<br /><br />Therefore, the correct answer is: Right 15 and Up 7.