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Quadratic Functions in Architecture
Transcript of Quadratic Functions in Architecture
The arch of the Sydney Harbour Bridge in Sydney, Australia, can be modeled by y = 0.00211x² + 1.06x where 'x' is the distance (in metres) from the left pylons and 'y' is the height (in metres) of the arch above the water. For what distance 'x' is the arch above the road?
Step 1: Find Given
y = -0.00211x² + 1.06x
'x' => distance (m)
'y' => height (m)
maximum 'x' distance for arch
Step 2: Find Solutions
Maximum 'x' distance
Solutions: (0 , 0) and (502.37 , 0)
The arch is above the road for approx. 502.37m