The function g(x) has the greater maximum value. So, option (A) is the correct answer.
What is the graph of a function?
"The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation".
For the given situation,
The function f(x) is expressed as -3x^2 + 6x +4
The function g(x) is shown in the graph.
Plot the function f(x) in the graph to compare with g(x).
The graph for f(x) is shown below.
The function f(x) is the decreasing function, so it has only a minimal value.
The function g(x) is the increasing function, so it has a maximum value.
Hence we can conclude that the function g(x) has the greater maximum value. So, option (A) is the correct answer.
Learn more about the graphs of functions here
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