Let \(G(t)\) be a quadratic function with \(G'(t) = -3(t+5)\).

\(G'(t) = 0\) at \(t = \answer {-5}\).

\(G'(t) > 0\) on \(\left ( \answer {-\infty }, \answer {-5} \right )\).

\(G'(t) < 0\) on \(\left ( \answer {-5}, \answer {\infty } \right )\).

\(G(t)\) increases on \(\left ( \answer {-\infty }, \answer {-5} \right )\).

\(G(t)\) decreases on \(\left ( \answer {-5}, \answer {\infty } \right )\).

The maximum of \(G(t)\) is located at \(t = \answer {-5}\).

2025-05-18 05:28:56