If the formula \( y=x^{3} \) is changed by adding five as shown in red below. \( f(x)=(x+5)^{3} \) Which values would be most directly affected by the change? Select an answer What effect would it have on the graph? Select an answer

When we modify the function to \( f(x) = (x + 5)^3 \), the most directly affected values are the x-values. Adding 5 shifts the graph to the left by five units. Essentially, every point on the original graph of \( y = x^3 \) will move horizontally left, affecting the input values required to achieve the same output. On the graph, the effect of this transformation is truly dramatic! Instead of the classic S-curve of the cubic function centered at the origin, we now have an S-curve that begins at (-5, 0) on the x-axis. This leftward shift leads to new x-intercepts and altered intersections with other functions, making for a vibrant transformation in the overall visual appearance!