Minimum Point of Parabolas in Bridge Design

The video tutorial explains the geometry of a suspension bridge with two towers connected by a parabolic cable. It covers the coordinate system used to measure distances and the method to find the vertex of the parabola, which helps determine the distance between the towers. The tutorial includes drawing diagrams and calculating the minimum point of the parabola to find the total distance between the towers, which is 4,200 feet.

What is the height of the towers in the suspension bridge?

• 500 feet

• 400 feet

• 600 feet

• 700 feet

Tags

CCSS.7.G.A.3

What shape do the cables of the suspension bridge form?

• Ellipse

• Circle

• Parabola

• Hyperbola

In the coordinate system used, what does the x-coordinate represent?

• Length of the cables

• Height of the towers

• Distance from the left tower

• Width of the bridge

Tags

CCSS.HSF.LE.B.5

What is the significance of the y-coordinate in this context?

• It represents the height in general.

• It measures the width of the bridge.

• It shows the distance between towers.

• It indicates the length of the cables.

What is the purpose of finding the minimum point of the parabola?

• To determine the height of the towers

• To measure the width of the bridge

• To calculate the distance between the towers

• To find the length of the cables

Tags

CCSS.HSF-IF.C.7A

What is the x-coordinate of the minimum point of the parabola?

• 4,200

• 1,050

• 2,100

• 3,150

Tags

CCSS.HSF-IF.C.7A

What is the y-coordinate of the minimum point of the parabola?

• 8

• 12

• 4

• 0

How far is the minimum point from the left tower?

• 1,050 feet

• 3,150 feet

• 2,100 feet

• 4,200 feet

What is the total distance between the two towers?

• 5,000 feet

• 4,200 feet

• 3,500 feet

• 2,100 feet

Why is the minimum point of the parabola important in this context?

• It indicates the midpoint between the towers.

• It helps in designing the bridge.

• It determines the width of the bridge.

• It shows the maximum height of the cables.