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trasher [3.6K]
3 years ago
5

An architectural engineer is designing a parabola dome that will be 200 feet in diameter with a max height of 50 feet. find the

equation for the cross sectional parabola of the dome. y= what?
Mathematics
1 answer:
il63 [147K]3 years ago
5 0

Answer:

y = -0.005x² + 50

Step-by-step explanation:

The diameter is 200 feet, so the parabola has roots at (-100, 0) and (100, 0).  The maximum height is 50, so the vertex of the parabola is at (0, 50).

Using vertex form of a parabola:

y = a (x − h)² + k

y = a (x − 0)² + 50

y = ax² + 50

Plugging in either root:

0 = a (100)² + 50

a = -0.005

y = -0.005x² + 50

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