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Applications of Quadratic Functions

Applications of Quadratic Functions. Applications. There are many applications of quadratic functions Many involve solving a quadratic function which we will look at for the next test Applications we will look at now deal with maximums or minimums

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Applications of Quadratic Functions

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  1. Applications of Quadratic Functions

  2. Applications • There are many applications of quadratic functions • Many involve solving a quadratic function which we will look at for the next test • Applications we will look at now deal with maximums or minimums • Remember the maximum or minimum is the vertex

  3. What you will be asked to find: • Maximum or minimum (y-value of vertex) • Time at maximum height or amount of something made (x-value of vertex)

  4. Example • 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= -16x2+96x+112, where x measures time in seconds and y measures the height, in feet, above the water. • Find the greatest height the coin reaches before it drops into the water • Find the time that the coin reaches this height.

  5. Example • A baker has modeled the monthly operating costs for making wedding cakes by the function y = 0.5x2 – 12x + 150 where y is the total cost in dollars and x is the number of cakes prepared. • Find the vertex and axis of symmetry. • What is the minimum monthly operating cost? • How many cakes should be prepared each month to yield the minimum operating cost? • What are the baker’s costs if he/she makes no cakes?

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