The height of water shooting my fountain is modeled by the function f(x)= -4x^2 +24x -29 where x the distance from the spout in
feet. Complete the square to determine the maximum height of the path of the water.
1 answer:
By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.
<h3>What is the maximum height of the water?</h3>
The maximum height has been modeled by the use of the equation f(x)= -4x^2 +24x -29. Now we know that f(x)= h so we can write;
h = -4x^2 +24x -29
Now we have;
0 = -4x^2 +24x -29
-4x^2 +24x -29= 0
x^2 - 6x = -29/4
(x - 3)^2 = -29/4 + 3^2
(x - 3)^2 = -29/4 + 9
x = 3 ±√29/4 + 9 m
Learn more about completing the square:brainly.com/question/4822356
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