Question

The graph of f(x)=x^3 was transformed to g(x)=-(x+2)^3-4. Which transformations were applied to the graph of f(x)?

Answer 1

The negative sign reflects the graph of f(x) across the x-axis (due to the negative sign before the brackets). Next there is a horizontal shift on the x-axis 2 units left (due to x+2). After that, there is a vertical shift on the y-axis 4 units down (due to the -4)