In vertices of \( \triangle A B C \) lie on \( y=f(x)=a x^{2}+b x+c \). The \( \triangle A B C \...

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In vertices of \( \triangle A B C \) lie on \( y=f(x)=a x^{2}+b x+c \). The \( \triangle A B C \) is right-angled isosceles triangle whose hypotenuse \( A C=4 \sqrt{2} \) units.
Minimum value of \( y=f(x) \) is
(a) -4
(b) -2
(c) \( -2 \sqrt{2} \)
(d) none of these
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