Suspension Bridge Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are $1280$ meters apart. The top of each tower is $152$ meters above the roadway. The cables touch the roadway midway between the towers.

Complete the table by finding the height $y$ of the suspension cables over the roadway at a distance of $x$ meters from the center of the bridge.

In a suspension bridge the shape of the suspension cables is parabolic. The bridge has towers that are 600 m apart, and the lowest point of the suspension cables is 150 m below the top of the towers. Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the vertex. [Note: This equation is used to find the length of cable needed in the construction of the bridge.]

Write an equation of a parabola to model the shape of the suspension cable of the bridge shown. Assume that the origin is at the lowest point of the cables.

The Golden Gate Bridge in San Francisco, California, is a catenary suspension bridge, which is very similar in appearance to a parabola. The main span cables are suspended between two towers that are 4200 feet apart and 500 feet above the roadway. The cable extends 10 feet above the roadway midway between the two towers. Find an equation that models the shape of the cable.

Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are $1280$ meters apart. The top of each tower is $152$ meters above the roadway. The cables touch the roadway at the midpoint between the towers. Complete the table by finding the height $y$ of the suspension cables over the roadway at a distance of $x$ meters from the center of the bridge.

Suspension Bridge Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are $1280$ meters apart. The top of cach tower is $152$ meters above the roadway. The cables touch the roadway midway between the towers.
Complete the table by finding the height $y$ of the suspension cables over the roadway at a distance of $x$ meters from the center of the bridge.

$$\begin{array}{|c|c|} \hline \text{Distance}, x & \text{Height,}y \\ \hline 0 & \\ 250 & \\ 400 & \\ 500 & \\ 1000 & \\ \hline \end{array}$$

Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are 1280 meters apart. The top of each tower is 152 meters above the roadway. The cables touch the roadway midway between the towers.

Complete the table by finding the height $y$ of the suspension cables over the roadway at a distance of $x$ meters from the center of the bridge.

Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are 1280 meters apart. The top of each tower is 152 meters above the roadway. The cables touch the roadway midway between the towers.Write an equation that models the cables.

The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 600 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable from the road at a point 150 feet from the center of the bridge?

A cable of a suspension bridge is suspended (in the shape of a parabola) between two towers that are $120$ meters apart and $20$ meters above the roadway. The cables touch the roadway midway between the towers.

Find the length of the parabolic supporting cable.

A cable of a suspension bridge is suspended (in the shape of a parabola) between two towers that are 120 meters apart and 20 meters above the roadway. The cables touch the roadway midway between the towers. Find the length of the parabolic supporting cable.

The cables that support a suspension bridge, such as the Golden Gate Bridge, can be modeled by parabolas. Suppose that a 300 -foot-long suspension bridge has at its ends towers that are 120 feet tall, as shown in the figure. If the cable comes within 20 feet of the road at the center of the bridge, find a function that models the height of the cable above the road a distance of x feet from the center of the bridge.

Each of the planets in the solar system move around the Sun in an elliptical orbit, where the Sun is one focus of the ellipse. Mercury is 43.4 million miles from the Sun at its farthest point and 28.6 million miles at its closest. The diameter of the Sun is 870,000 miles. Find the length of the minor axis.

Each of the planets in the solar system move around the Sun in an elliptical orbit, where the Sun is one focus of the ellipse. Mercury is 43.4 million miles from the Sun at its farthest point and 28.6 million miles at its closest. The diameter of the Sun is 870,000 miles. Find the eccentricity of the elliptical orbit.