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Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= -
= - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
So check the picture below
if we check the solutions or zeros for the equation, we get
and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is
the truck, ends up with a clearance of
on either side, so, the maximum clearance, the truck can have, those two clearances added together, 
if we check the solutions or zeros for the equation, we get
and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is
the truck, ends up with a clearance of