I'LL MARK BRAINLIEST!! PLEASE HELP ASAP! 21 POINTS!
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 16, 0. The vertex is at 8, 10. (The graph is down below!)
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height?
Part B: What is an approximate average rate of change of the graph from x = 8 to x = 13, and what does this rate represent?
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Step-by-step explanation:
a.
x=0 gives the original position of the ball
x=16 gives the distance covered by ball before it comes back to the ground.
y=10 gives the maximum height the ball attains.
b.
average rate of change
=f(13)−f(8)13−8
=7.5−1013−8
=−2.55
=−0.5
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