1. The problem is to match each quadratic equation with the correct graph among functions f, g, m, and n. 2. The general form of a parabola is $$y = a(x-h)^2 + k$$ where $(h,k)$ is the vertex and $a$ determines the direction and width. 3. For equation (A) $$y = -(x + 5)^2 + 5$$, rewrite as $$y = -(x - (-5))^2 + 5$$, so the vertex is at $(-5,5)$ and the parabola opens downward because $a = -1$. 4. From the graph description: - m is red, downward-opening, vertex near $(-5,5)$ - f is black, upward-opening, vertex near $(-5,-5)$ - g is blue, upward-opening, vertex near $(5,-5)$ - n is purple, downward-opening, vertex near $(5,5)$ 5. Since (A) has vertex $(-5,5)$ and opens downward, it matches function m. Final answer: (A) corresponds to function m.