here that function can be rewritten as follows:
f(x) = (x +1/2)^2 + 3/4
so its minimum value is:
y_min = 3/4
here your function can be rewritten as follows:
f(t) = -3 (t +3/2)^2 +563/4
so its maximum value, is:
y_max = 563/4
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