Amery recorded the distance and height of a basketball when shooting a free throw. Distance(feet). Height (feet), f(x). 1. Find the quadratic equation for the relationship of the horizontal distance and the height of the ball. Round to 3 2 8.4 12.1 14.2 13.2 10.5 9.8 decimal places. 12 13 15 2. Use your graphing calculator to determine a domain and a range for your function that are reasonable, given the context of this situation. 3. On what interval of the domain is the function increasing? Explain how you know. Does this make sense? Why? 4. On what interval of the domain is the function decreasing? Explain how you know. Does this make sense? Why? 5. Using this function, what is the approximate maximum height of the ball? At what distance did it reach this height?
Amery recorded the distance and height of a basketball when shooting a free throw. Distance(feet). Height (feet), f(x). 1. Find the quadratic equation for the relationship of the horizontal distance and the height of the ball. Round to 3 2 8.4 12.1 14.2 13.2 10.5 9.8 decimal places. 12 13 15 2. Use your graphing calculator to determine a domain and a range for your function that are reasonable, given the context of this situation. 3. On what interval of the domain is the function increasing? Explain how you know. Does this make sense? Why? 4. On what interval of the domain is the function decreasing? Explain how you know. Does this make sense? Why? 5. Using this function, what is the approximate maximum height of the ball? At what distance did it reach this height?
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 4T: The path of a ball is modeled by the function f(x)=120x2+3x+5, where fx is the height (in feet) of...
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How do I find quadratic equation
Transcribed Image Text:Amery recorded the distance and height of a basketball when
shooting a free throw.
Distance(feet), Height (feet),
f(x)
1. Find the quadratic equation for the relationship of the
horizontal distance and the height of the ball. Round to 3
2
6
8.4
12.1
decimal places.
14.2
12
13
15
13.2
10.5
9.8
2. Use your graphing calculator to determine a domain and a range for your function that
are reasonable, given the context of this situation.
3. On what interval of the domain is the function increasing? Explain how you know. Does
this make sense? Why?
4. On what interval of the domain is the function decreasing? Explain how you know. Does
this make sense? Why?
5. Using this function, what is the approximate maximum height of the ball? At what
distance did it reach this height?
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