Unformatted text preview: – Day 6: Modelling Problems Page 2 of 2 example: A bridge over a river is supported by a parabolic arch which is 40 metres wide at water level.
The maximum height is 16 metres. Find the height of the arch above a point 10 metres from
the centre of the river.
1. Understand the problem. 2. Devise a plan. 3. Carry out the plan. 4. Looking Back. exercise: The cables of a suspension bridge hang in a curve which is roughly a parabola. The bottom
of the cables reach the road bed. If the supporting towers are 720 m apart and 60 m high,
find the approximate height of the cables 30 m from where the cable touches the road bed.
[Answer: 42 cm] PRE-CALCULUS 11 Unit 1 – Day 7: QUADRATIC FUNCTIONS IN STANDARD FORM The standard form of a quadratic function’s equation is y = a x2 + b x + c or f(x) = ax2 + bx + c , where the variables are x and y; the function’s name is f; and the parameters are a, b, and c. The relationship between the parameters from the vertex form and standard form can be shown by
simplifying the ver...
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