Online learning 2 3L/Q18 Quadratic Models

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function p= -15x² +600x +60 , where x is the price of each ticket. What is the maximum profit you can make from selling tickets?

A ball is thrown into the air with an upward velocity of 100 m/s. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

How many seconds did it take for the ball to reach its maximum height?

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

Rafael drops a ball from a third-story window. This equation  $h\left(t\right)=-5t^2+45$   represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.  You need to know the initial height of the ball -- what part of the parabola do you need to find?

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation  $h(t)=-6t^2+6t$   where h is the frog's height at any given time, t. You want to know the time the frog is back on the ground -- what do you need to find on the parabola?