This preview shows page 1. Sign up to view the full content.
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] PRECALCULUS 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...
View
Full
Document
 Fall '11
 Aytona
 Calculus, PreCalculus, Polynomials

Click to edit the document details