Question

The height of water shooting from a fountain is modeled by the function f(x)= -4x^2 +24x -29 where access to distance from the spot 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 of the path of the water 3 ±√29/4 + 9 m.

What is called distance?

• Distance is a numerical measurement of how far apart objects or points are.
• The distance between two points is the length of the path connecting them.

• In  everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.g. "two counties over").
• The distance from a point A to a point B is sometimes denoted as. .

h = -4x² +24x -29

Now we have;

0 = -4x² +24x -29

-4x² +24x -29= 0

x² - 6x = -29/4

(x - 3)² = -29/4 + 3²

(x - 3)² =  -29/4 + 9

x = 3 ±√29/4 + 9 m

Therefore, the maximum height of the path of the water  x = 3 ±√29/4 + 9 m

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