Question

suppose the function, g(x), is used to model the height, y , of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds . What would be an appropriate domain for g(x)?

Answer 1

Modeling with Quadratic Function

1. y=3x^2-2x+2

2.y=4x^2+5x-6

3.33x^2-24x+635,2,555

4. -0.507x^2+14.907x-36.131

5. 0<x<4.4

Step-by-step explanation: i made 100%

Answer 2

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds .

the ball reaches its maximum height of 15 feet in 2.2 seconds .

The ball takes 2.2 seconds to reach the maximum height from the ground

Ball takes another 2.2 seconds to reach the ground from the maximum height

So 2.2+ 2.2 = 4.4 seconds

The ball will be in the air for 4.4 seconds

So the domain of g(x) is 0 to 4.4 seconds

[0,4.4] is the domain in interval form