URGENT!!!!!!!!!!!!

In the suspension bridge above, the two large cables connected to the two towers swing down in curves that are parabolas. Each tower rises 135 feet above the roadway and the towers are 500 feet apart. At the center of the bridge, the two curved cables are 10 feet above the roadway. There are vertical cables that connect the roadway to these curved cables. The vertical cables are placed 40 feet apart. Vertical cables are not necessary at either of the towers. Suppose this bridge was damaged during a wind storm. Your job is to order new vertical cables to replace the ones between the two towers on the bridge.
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Answer the following questions. You must show all your work to receive full credit.

Write the equation of the parabola in standard form (standard form is (x – h)2 = 4p(y – k) ). Use the center of the roadway as the origin (0,0).











Identify the vertex, directrix, focus, focal width, domain, and range of the parabola. Restrict the domain and range to the values applicable for this exact bridge, not the equation of the parabola itself (neither domain nor range should have infinity or negative infinity in the answer)

Vertex:

Directrix:

Focus:

Focal Width:

Domain:

Range:

Determine the number and length of each of the vertical cables needed between the two towers. Include the total feet of all the vertical cables added together. Enter your data in the table below. Round each length to the nearest tenth of a foot. Some data has been entered for you already.
Distance from center of bridge to vertical cable (absolute value of x)
Length of vertical cable (y)
Total number of vertical cables of each length
Total length of each type of cable
Total number of cables needed:
Total length of cables needed: