# Stumped on the rest of these questions - Properties of Parabolas

• Mar 20th 2012, 03:13 PM
Milow541
The Lion's Gate Bridge in Vancouver , the Golden Gate Bridge in San Francisco , and the Brooklyn Bridge in New York City are examples of suspension bridges. A suspension bridge has 2 suspension cables that connect the tops of two towers. The roadway is suspended from these cables hence the name suspension bridge.

The height of a suspension cable above the roadway of a new suspension bridge , with two equally tall towers , is described by the equation y = 0.05(x-30)^2 + 6. In this equation , x represents the horizontal distance , in metres from one tower to the other tower , and y represents the height , in metres , of the cable above the roadway.

a) Complete the following table of values for the relationship ( alright I did A , what do I do for the others? Step by step please , thanks )

--------------------------------------…
Distance from First Tower , x (m) | Height of cable above roadway , y (m)

0 , 51
6 , 34.8
12, 22.2
18, 13.2
24, 7.8
30, 6
36, 7.8
42, 13.2
48, 22.2
--------------------------------------…

b) How high above the roadway is the suspension cable attached to the first tower?

c) Identify the coordinates of the vertex , the equation of the axis of axis of symmetry and the minimum value of the parabola.