Quadratic Function



Applications of Quadratic Functions:Example 1:A total of 8 meters of fencing are going to be used to fence in a rectangular cage for pets and divide it into three smaller cages. Determine the overall dimensions that will yield the maximum total enclosed area.? Let x stand for the length of one of the sides (with 2 sides needed of length x) and y stand for the length of the other side (with 4 sections of fencing needed of length y).-1143006159500?228600-11430000Example 2:The path of a cannonball is a parabola modeled by the equationy= 55 +x?0.002x^2, where x and y are both measured in feet. In this model, the cannonball starts at the point (0,55) and travels to the right. The ground is represented by the x-axis. Sketch a graph of the cannonball’s path, and determine the horizontal distance traveled by the ball before it hits the ground.Example 3:The main suspension cables between the towers of the Golden Gate Bridge form a parabola that can be modeled by the quadratic function: Y = 0.000112x2 + 220 where x is the horizontal distance from the middle of the bridge to the towers and y is the vertical distance from the water level to the bridge deck. The cables are connected to the towers at points that are 5000 feet above the road, and the road is about 220 feet above the mean water level.The span between the towers is 4,200 feet. Therefore, as shown in the table immediately above, the vertex or midpoint of the bridge span between the towers is at 2,100 feet. Using the parabolic equation for the Golden Gate Bridge, y=0.000112x2 + 220, we were able to calculate the span at the towers as being 713.92 feet above the water. We also know from the y-intercept that the bridge is 220 above water level.-4572007683500Application of Functions Video: ................
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