The axis of symmetry of the graph of f (x) = 4 (x + 8) 2 - 6 has equation ...

x = - 8

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a (x - h) ² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f (x) = 4 (x + 8) ² - 6 ← is in vertex form

with (h, k) = ( - 8, - 6)

The axis of symmetry is a vertical line passing through the vertex

with equation x = - 8