A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
After one second, the missile is 130 feet in the air; after 2 seconds it is 240 feet in the air.
Find the height, in feet, of the missile after 11 seconds in the air.

Question

A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. 
After one second, the missile is 130 feet in the air; after 2 seconds it is 240 feet in the air. 
Find the height, in feet, of the missile after 11 seconds in the air.

cwrw238 · Answer

h(x)  = ax^2 + bx + c

as its fired from the ground we can assume c = 0

so we have

130 = a(1)^2 + 1b
240  = a(2)^2 + 2b


solve this system of equations for a  and b 

to get  h(x) in terms of x

cwrw238 · Answer

then plug in x = 11

anonymous · Answer

I really can't figure out this exact same question. Is there any way you could expand a little?