We have the following quadratic function:
[tex]y=-4x^2+30x+5[/tex]Since a quadratic function represents a parabolla, we have a different meaning for each coefficient. In this case, we have the following:
[tex]a=-4<0[/tex]first, we have that the main coefficient is -4, which is less than 0. Thus, the parabola will be wider. In the context of this problem, this means that the ball will take more time to touch the ground.
[tex]b=30[/tex]the second coefficient determines, along with the coefficient 'a', to which side the parabolla will move with respect of the y-axis. In this case, since a<0 and b>0, we have that the parabolla will move to the right of the y-axis. Which is clear, since we are measuring with only positive values of the time.
[tex]c=5[/tex]finally, the last coefficient is 5, which represents a constant and the y-intercept of the parabolla. Therefore, in this case it represents the initial height of the ball
