Which of the following describes the transformations of g(x)= -(2)x+4- from the parent function f(x)=2x? shift 4 units left, reflect over the x-axis, shift 2 units down shift 4 units left, reflect over the y-axis, shift 2 units down shift 4 units right, reflect over the x-axis, shift 2 units down shift 4 units right, reflect over the y-axis, shift 2 units down

For this case we have the following functions:   g (x) = - (2) ^ (x + 4) - 2  f (x) = 2 ^ x  we have the following transformations:   horizontal translations:   suppose that h> 0  to graph y = f (x + h), move the graph of h units to the left.  f (x + 4) = 2 ^ (x + 4)  reflections:   to graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (vertical reflection).  f (x + 4) = - (2) ^ (x + 4)  vertical translations  suppose that k> 0  to graph y = f (x) -k, move the graph of k units down.  g (x) = - (2) ^ (x + 4) - 2  answer:   shift 4 units left, reflect over the x-axis, shift 2 units down