Answer:
t = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
h = - 16t² + 20t + 6 is in standard form
with a = - 16 and b = 20, hence
t = - [tex]\frac{20}{-32}[/tex] = [tex]\frac{5}{8}[/tex] ← axis of symmetry