Question

A player throws a basketball toward a hoop. The basketball follows a

parabolic path that can be modeled by the equation
y=125x² +2.08x + 4. The table models the parabolic path of another
basketball thrown from somewhere else on the court. If the center of the
hoop is at (12,11), will each ball pass through the hoop?

Will the basketball that follows a parabolic path modeled by y=-.125x² +2.08x + 4 pass through the hoop?

yes
No

Will the other basketball, whose path is modeled by the table, pass through the
hoop?!

Yes
No

Answer 1

1. in this exercise you must substitute the value of of x = 12 in the equation of the parable given, if the result is 10 then the ball pass through the hoop

2. Y = (-.125)(12)^2+ (1.84)(12)+6 = -18+22.08+6 = 10.06≅10 , of this form it is demonstrated, that the ball pass through the hoop