The function g(x)=(x)² +5. The function f(x) = g(x+2).
The graph of the function f(x) opens
down.
The graph of the function f(x) is shifted horizontally
2 units to the left of the function g(x).
1 answer
This means that the graph of f(x) will be a parabola that opens downwards and is shifted 2 units to the left of the graph of g(x), which is a parabola that opens upwards. The graph of f(x) will have a vertex at (-2, 5) and will be wider than the graph of g(x) because it has a coefficient of 1 in front of the squared term.