Answer:
![f(x) = 2(x-9)^(2) + 3](https://img.qammunity.org/2023/formulas/mathematics/college/3o213hwmox7sz6pehfbw3z71qelvun4oma.png)
Explanation:
In vertex form, (h, k) represents the vertex.
With the given vertex of (9, 3), h = 9 and k = 3. You can substitute those values into the equation.
In vertex form, a represents vertical stretch or compression.
In this case, since the parent function, x^2 is multiplied by 2, a = 2. You can substitute this into the equation.
You end up with
![f(x) = 2(x-9)^(2) + 3](https://img.qammunity.org/2023/formulas/mathematics/college/3o213hwmox7sz6pehfbw3z71qelvun4oma.png)