Answer:
Option A.
Explanation:
The parent function is the quadratic function, that is:
![f(x) = x^2](https://img.qammunity.org/2022/formulas/mathematics/college/54v7cgapsf7jfkrje6jm7umiomd0hs6r87.png)
Function g:
The function g is the function f concave down, that is, -f.
Also, for the parent function, we have that y = 1 when x = 1. On the function g, otherwise, we have that when x = 1, y = -1/3. So:
![g(x) = -(1)/(3)f(x) = -(1)/(3)x^2](https://img.qammunity.org/2022/formulas/mathematics/college/1vmdsnno6y7ak3clzsqinqixnor0slqilo.png)
The correct answer is given by option A.