To graph transformations of the parent cube root function, ( f(x) = \sqrt[3]{x} ), you can apply vertical and horizontal shifts, stretches, or reflections. For vertical shifts, add or subtract a constant ( k ) to the function, resulting in ( f(x) = \sqrt[3]{x} + k ). Horizontal shifts can be achieved by replacing ( x ) with ( x - h ), leading to ( f(x) = \sqrt[3]{x - h} ). Stretches or reflections can be applied by multiplying the function by a constant, such as ( a \cdot \sqrt[3]{x} ) for vertical stretching or reflection.
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