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The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet:

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 0, 20. The vertex is at 10, 15.


Part B: What is an approximate average rate of change of the graph from x = 12 to x = 15, and what does this rate represent? (4 points)

User Mawoon
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1 Answer

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Look at the graph.

Where x = 12, find what y is.
For example, where x = 10, y is 15.

Now find what y is when x = 15.

You should now have 2 points: (12,y1), and (15,y2).

Now use the slope formula (y2-y1)/(x2-x1) to find the average rate of change. (x1 is 12, and x2 is 15)
User Grahamparks
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