Applications of Quadratic Functions Applications ZThere are many

Applications of Quadratic Functions

Applications ZThere are many applications of quadratic functions ZMany involve solving a quadratic function which we will look at for the next test ZApplications we will look at now deal with maximums or minimums ZRemember the maximum or minimum is the vertex

What you will be asked to find: ZMaximum or minimum (y-value of vertex) ZTime at maximum height or amount of something made (x-value of vertex)

Example Z Abigail, who has a bionic arm, is crossing a bridge over a small gorge and decides to toss a coin into the stream below for luck. The distance of the coin above the water can be modeled by the function y= -16 x 2+96 x+112, where x measures time in seconds and y measures the height, in feet, above the water. Z Find the greatest height the coin reaches before it drops into the water Z Find the time that the coin reaches this height.

Example Z A baker has modeled the monthly operating costs for making wedding cakes by the function y = 0. 5 x 2 – 12 x + 150 where y is the total cost in dollars and x is the number of cakes prepared. Z Find the vertex and axis of symmetry. Z What is the minimum monthly operating cost? Z How many cakes should be prepared each month to yield the minimum operating cost? Z What are the baker’s costs if he/she makes no cakes?