Question

Graph the functions using the techniques of shifting, compressing, stretching and/or reflecting. Statr with the graph of the basic function

f(x)=(x-4)^3-5

Answer 1

The red curve is the parent p(x)=x³; the blue curve is the parent shifted 4 units to the right q(x)=(x-4)³; and the green curve is f(x)=(x-4)³-5, which is q(x) shifted 5 units down. So the transformation is a right shift of 4 units and a downward shift of 5 units.