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The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = –16x2 + 24x + 1. What information does the zero of the equation 6 = –16x2 + 24x + 1 represent?



the height of the ball after 6 seconds

when the ball is 6 ft above the ground

the initial upward velocity of the ball

the horizontal distance traveled by the ball when it is 6 ft above the ground

Verified Answer :

Given function : y = -16x^2 + 24x + 1.

Where the height y, in feet, of a football x seconds after it is thrown.

We need to explain what information does the zero of the equation the 6 = -16x^2 + 24x + 1 represents.

We can see that y is being replaced by 6 on left side of the equation.

And y represents the height of the ball after x seconds.

Therefore, correct statement is "when the ball is 6 ft above the ground".

According to the quadratic equation for the ball's height, it is found that the zero of the equation \(6 = -16x^2 + 24x + 1\) represents:

  • The instant of the time x when the ball is 6 ft above the ground

The height of the ball y(x), after x seconds, is modeled by:

\(y(x) = -16x^2 + 24x + 1\)

The equation given is:

\(6 = -16x^2 + 24x + 1\)

  • In which \(y(x) = 6\), hence, the height is of 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.

A similar problem, in which a quadratic equation is used to model a projectile's height, is given at https://brainly.com/question/24764843

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