Question

Which transformation of f(x)=3^x does h(x)=-3^x-7 represent?

Answer 1

f(x) = 3^x and g(x) = 3^x - 7 => h(x) = f(x) - 7.  This is f(x) has been translated 7 units downward.

If you graph f(x) you can obtain h(x) by shifting the graph of f(x) 7 units downward.