1. The problem asks to find constants $a$, $b$, and $c$ such that $g(x)$ is the mother function (parent function) of $f(x)$. 2. Typically, a mother function is a basic function from which $f(x)$ can be derived by transformations involving $a$, $b$, and $c$. 3. Without explicit forms of $f(x)$ and $g(x)$, we assume $f(x) = a g(bx + c)$ or a similar transformation. 4. The general transformation formula is: $$f(x) = a \cdot g(bx + c)$$ where: - $a$ scales the function vertically, - $b$ scales horizontally, - $c$ translates horizontally. 5. To find $a$, $b$, and $c$, compare $f(x)$ and $g(x)$ and solve the system of equations obtained by substituting specific $x$ values. 6. Since the problem does not provide explicit functions, please provide $f(x)$ and $g(x)$ to proceed with finding $a$, $b$, and $c$.