Answer:
The axis of symmetry is x=-4.
Step-by-step explanation:
If a quadratic function is defined as
[tex]y=a(x-h)^2+k[/tex] .... (1)
then (h,k) is vertex, a is a constant and x=h is axis of symmetry.
The given quadratic function is
[tex]y=-2(x+4)^2+7[/tex] ... (2)
On comparing (1) and (2), we get
[tex]a=-2,h=-4,k=7[/tex]
It means the vertex of the parabola is at (-4,7) and the axis of symmetry is x=-4.
Therefore the axis of symmetry is x=-4.
