Question

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.

Answer 1

By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.

What is the maximum height of the water?

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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