Question 1062731
The axis of symmetry means the vertex x value is at -2
The minimum height is -6, meaning it is convex down or is U shaped. Vertex is at (-2,-6)
That makes the x^2 term positive
The y-intercept is 10.
Vertex form is f(x)= a(x-h)^2+k, where h and k are the vertex coordinates
f(x)=a(x+2)^2-6
when x=0, y=10
substitute
10=a(2^2)-6=4a-6
4a=16
a=4
f(x)=4(x+2)^2-6, 4x^2+16x+10. The first is vertex form.

{{{graph(300,300,-10,10,-10,15,4x^2+16x+10)}}}