1 / 5

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

clouse
Download Presentation

Applications of Quadratic Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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?

More Related