Given the function \( f(x)=x^{3} \), which statement best describes the graph of \( h(x)=-2 f(x) \). (1 point) The graph will undergo only a vertical stretch. The graph will undergo both a reflection and a vertical stretch. The graph will undergo only a reflection. The graph will undergo both a reflection and a vertical compression.

The graph of \( h(x) = -2 f(x) \) will undergo both a reflection and a vertical stretch. The negative sign in front of the function indicates a reflection over the x-axis, meaning the graph will flip upside down. The "-2" signifies a vertical stretch by a factor of 2, causing the points on the graph to be pulled further away from the x-axis. Thus, the correct choice is that the graph experiences both transformations! For some added fun, did you know that cubic functions like \( f(x) = x^3 \) have a unique S-shape graph with inflection points? When you apply transformations, such as reflection and stretching, it can turn your familiar shapes into entirely new ones, highlighting just how dynamic functions can be!