Algebra-2

To determine the equation of the red line, we analyze the transformation from the black line f(x) = x³:

Reflection: The negative sign indicates the graph is reflected over the x-axis, causing it to open downward.

Horizontal Shift: The term (x − 4) shows that the graph is shifted 4 units to the right.

Vertical Shift: The term −2 indicates a shift downward by 2 units.

Thus, the equation of the red line is: 

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