The true statement is (a) the maximum value is the same for both functions.
How to determine the true statement?
The function f(x) is given as:
f(x) = -4x² + 5
Rewrite as:
f(x) = -4(x - 0)² + 5
The vertex of a quadratic function of the form f(x) = a(x - h)² + k is:
Vertex = (h,k)
So, we have:
Vertex = (0,5)
This means that the maximum of the function f(x) is 5
From the table, the maximum of the function g(x) is also 5
Hence, the true statement is (a) the maximum value is the same for both functions.
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