Answer:
The vertex is (-4, 3)
The axis of symmetry is at x = -4
The graph is shown in the explanation below
Step-by-step explanation:
Given the function:
![f(x)=(1)/(4)(x+4)^2+3](https://img.qammunity.org/2023/formulas/mathematics/college/ii8y25at11svlxmiwecnt1741m3429cum7.png)
The general form of a parabola is:
![f(x)=a(x-h)^2+k](https://img.qammunity.org/2023/formulas/mathematics/high-school/lv6wh92oxxg1yzd73cyhfmkxhau9bpvca1.png)
The vertex is (h, k)
Comparing to the give parabola, this is (-4, 3)
The axis of symmetry is at x = h
x = -4
The graph is shown below: