1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:
2. You have:
y=-0.18x²+4.4x-12
a=-0.18
b=4.4
3. You must apply the following formula:
x=-b/2a
x=-4.4/2(-0.18)
x=-4.4/-0.36
x=12.22
4. When you susbtitute x=12.22 into the equation y=-0.18x²+4.4x-12, you obtain:
y=-0.18x²+4.4x-12
y=-0.18(12.22)²+4.4(12.22)-12
y=14.88 feet
5. The answer is: The maximum height of the tunnel is 14.88 feet