An architectural engineer is designing a parabolic dome that will be 200 feet in diameter with a maximum height of 50 feet

Question

Find the equation of the cross sectional parábola of the dome

Answer 1

Draw a diagram on a coordinate place!

Vertex is at (0, 50). Zeros at ±100.

 

f(x) = a(x - 0)² + 50

 

No substitute toe two zeros to determine the value of a.