Graphs of Quadratic Functions

May 28th, 2015
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Plot a graphical representation of change in elevation over time for the following “graphing story.” It is a video of a man jumping from 36 feet above ground into 1 foot of water.

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Lesson 2: Graphs of Quadratic FunctionsClassworkExample 2Plot a graphical representation of change in elevation over time for the following graphing story. It is a video of a man jumping from 36 feet above ground into 1 foot of water. http://www.youtube.com/watch?v=ZCFBC8aXz-g or http://youtu.be/ZCFBC8aXz-g (If neither link works, search for OFFICIAL Professor Splash World Record Video!)Example 3 The table below gives the area of a square with sides of whole number lengths. Have students plot the points in the table on a graph and draw the curve that goes through the points.Side (cm)Area (cm2)On the same graph, reflect the curve across the -axis. This graph is an example of a graph of a quadratic function.Problem Set 1. Here is an elevation versus time graph of a ball rolling down a ramp. The first section of the graph is slightly curved.a. From the time of about seconds onwards, the graph is a flat horizontal line. If Ken puts his foot on the ball at time seconds to stop the ball from rolling, how will this graph of elevation versus time change? b. Estimate the number of inches of change in elevation of the ball from seconds to seconds. Also estimate the change in elevation of the ball between seconds and seconds. c. At what point is the speed of the ball the fastest, near the top of the ramp at the beginning of its journey or near the bottom of the ramp? How does your answer to part (b) sup

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