What is the effect on the graph of \( f(x)=\sqrt[3]{x} \) when \( f(x) \) is replaced by \( f(x-1) \) ? (1 point) The graph shifts up. The graph shifts right. The graph shifts left. The graph shifts down.

When \( f(x) \) is replaced by \( f(x-1) \), the graph of \( f(x) = \sqrt[3]{x} \) shifts to the right by 1 unit. This transformation occurs because every x-value of the original function is now reached at one unit greater on the x-axis, effectively moving the graph right. Now, if you think about it, visualizing such transformations can make it much easier to grasp the concept! Just remember, when you subtract from \( x \), it moves in the positive direction, the same way a clock hand moves as it ticks forward. It's almost like a dance move for the graph!