Question

Given the following functions f(x) and g(x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g(x) with respect to the graph of f(x).

F(x)=|x| g(x)= -|x+3| -2

Answer 1

since g(x)=-F(x+3)-2
if the graph of F(x) is shifted to the left 3 units and reflected around the x axis then shifted 2 units down
or
g(x)=-(F(x+3)+2)
If the graph of F(x) is shifted to the left 3 units then shifted up 2units then reflected around the x-axis