The vertex is (-4, 3)
The axis of symmetry is at x = -4
The graph is shown in the explanation below
Explanation:Given the function:
[tex]f(x)=\frac{1}{4}(x+4)^2+3[/tex]The general form of a parabola is:
[tex]f(x)=a(x-h)^2+k[/tex]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: