Determine the axis of symmetry for the function f (x) = -2 (x+3) ^2-5

x=-3

Step-by-step explanation:

f (x) = -2 (x+3) ^2-5

The equation is in the form

f (x) = a (x-h) ^2 - k

where (h, k) is the vertex

The h value is also the axis of symmetry

f (x) = -2 (x--3) ^2-5

The vertex is (-3,-5)

so the axis of symmetry is x=-3