The function g(x) = -(x)^2 + 5. The function f(x) = -g(x+2)
The graph of the function f(x) opens (up or down?)
The graph of the function f(x) is shifted horizontally
(2 units to the left of the function g(x) or 2 units to the right of the function g(x) )
The graph of the function f(x) opens downwards because of the negative coefficient in front of g(x+2).
The graph of the function f(x) is shifted 2 units to the left of the function g(x), because the term inside the function g(x) is x+2, which means the graph is shifted 2 units to the left.