1. **Stating the problem:** We need to determine the numerical values of $a$, $b$, and $c$ for the function $g(x)$ and find the coordinates of point $D$. 2. **General form and formula:** Typically, $g(x)$ is a quadratic function of the form $$g(x) = ax^2 + bx + c.$$ To find $a$, $b$, and $c$, we need conditions such as points on the curve or other constraints. 3. **Using given points or conditions:** Suppose we have three points on $g(x)$: $A(x_1, y_1)$, $B(x_2, y_2)$, and $C(x_3, y_3)$. Then, $$\begin{cases} a x_1^2 + b x_1 + c = y_1 \\ a x_2^2 + b x_2 + c = y_2 \\ a x_3^2 + b x_3 + c = y_3 \end{cases}$$ 4. **Solving the system:** Solve this system of three equations to find $a$, $b$, and $c$. 5. **Finding point $D$:** If $D$ is defined by a certain $x$-value or condition on $g(x)$, substitute the $x$-value into $g(x)$ to find $y$. 6. **Example:** Without specific points or conditions, we cannot numerically solve for $a$, $b$, $c$, or $D$. Please provide the points or conditions for $g(x)$ and $D$. Since no specific data is given, the problem cannot be solved numerically here.