Consider the quadratic function

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider the quadratic function g(x)=−x2+kx+4g(x)=-x^{2}+kx+4. If kk is positive and the maximum value of g(x)g(x) equals 77, then kk is (a) 33 (b) 232\sqrt3 (c) 6\sqrt6 (d) 22

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