SOLUTION: Mr. Keller has decided he wants a fountain feature for the entrance to his house and is having a 20 foot high statue designed. The water will shoot from the top of the statue, rea

Question 1131904: Mr. Keller has decided he wants a fountain feature for the entrance to his house and is having a
20 foot high statue designed. The water will shoot from the top of the statue, reach a maximum
height of 50 feet at a distance of 45 feet from the base, and land 100 feet from the base of the
statue. He knows that the function governing this water is defined as the parent function
due to gravity.
a. Draw a detailed Diagram illustrating
b. Transform the parent Functions so
this fountain.
that the spray of the water matches
the design specifications.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Mr. Keller has decided he wants a fountain feature for the entrance to his house and is having a
20 foot high statue designed. The water will shoot from the top of the statue, reach a maximum
height of 50 feet at a distance of 45 feet from the base, and land 100 feet from the base of the
statue. He knows that the function governing this water is defined as the parent function
due to gravity.
---------
a. Draw a detailed Diagram illustrating
------------
b. Transform the parent Functions so this fountain.
that the spray of the water matches the design specifications.
-----
It's a parabola
y = h(t) = -16t^2 + Vot + ho is commonly used for gravity.
========
You have 3 points:
(0,20), (45,50) and (100,0)
Use y = ax^2 + bx + c and the 3 points to find the parabola.
Can you do that?
----------------
It's possible that the parabola will not fit the formula for gravitational effects.
That would be the fault of the author of the problem.

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