Single Option Correct Type Questions Suppose that the quadratic function \( f(x)=a x^{2}+b x+c \...

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Single Option Correct Type Questions
Suppose that the quadratic function \( f(x)=a x^{2}+b x+c \) is non-negative on the interval \( [-1,1] \). Then, the area under the graph of \( f \) over the interval \( [-1,1] \) and the \( X \)-axis is given by the formula
(a) \( A=f(-1)+f(1) \)
(b) \( A=f\left(-\frac{1}{2}\right)+f\left(\frac{1}{2}\right) \)
(c) \( A=\frac{1}{2}[f(-1)+2 f(0)+f(1)] \)
(d) \( A=\frac{1}{3}[f(-1)+4 f(0)+f(1)] \)
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