The vertx from of the quadratic function is
![f(x)=a(x-h)^2+k](https://img.qammunity.org/2023/formulas/mathematics/high-school/lv6wh92oxxg1yzd73cyhfmkxhau9bpvca1.png)
Where
(h, k) are the coordinates of the vertex
a is the coefficient of x^2
By comparing this form with the answers
a.
![m(x)=2(x+4)^2-8](https://img.qammunity.org/2023/formulas/mathematics/college/6037fra72sib3sqb9wf0w9lo93gi4sypbx.png)
a = 2
h = -4
k = -8
The vertex point is (-4, -8)
The quickly reveals the vertex is answer a