Given the function, f(x) = -2x^2 - 5: to evaluate f(-4), you must substitute the value of x = -4 as input into the function.
f(x) = -2x^2 - 5
f(-4) = -2(-4)^2 - 5
f(-4) = -2(16) - 5
f(-4) = -32 - 5
f(-4) = -37
Therefore, f(-4) = -37
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