Answer:
First option
![y = (x-7) ^ 2 + 9](https://img.qammunity.org/2020/formulas/mathematics/high-school/3pdugiflxrxuxgy9f5n409pzunquussc6f.png)
Explanation:
In this case we must write a quadratic equation in the vertex form.
We have the vertice. (7, 9)
We know that the vertex form for a quadratic equation is:
.
Where (h, k) is the vertex.
So if the vertex is (7, 9), the equation sought is:
![y = (x-7) ^ 2 + 9](https://img.qammunity.org/2020/formulas/mathematics/high-school/3pdugiflxrxuxgy9f5n409pzunquussc6f.png)
Therefore the answer is the first option.