ANSWER
reflection in the x-axis
shift 4 units right
shift 4 units down
EXPLANATION
The given function is
[tex]g(x) = - {2}^{x + 4} - 2[/tex]
The parent function is
[tex]f(x) = {2}^{x} [/tex]
The transformation applied to f(x) to obtain g(x) is of the form
g(x)=-f(x+c)-k
This will shift the graph to the left by c units and shift down by k units and reflected in the x-axis.
For
[tex]g(x) = - {2}^{x + 4} - 2[/tex]
The transformation are:
reflection in the x-axis
shift 4 units right
shift 4 units down
