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