A ball is thrown from a rooftop and its height in meters t seconds later is $h(t)=-5t^2+30t+10$. What is the greatest height the ball reaches?

A model rocket's height in meters is $h(t)=-5(t-4{)}^2+90$, where t is the number of seconds after launch. How many seconds after launch is the rocket at its highest?

A farmer fences a rectangular pen against a barn wall, using 60 meters of fence on the other three sides. With width w meters, the area is A(w) = w(60 - 2w). What is the largest possible area?

A student found the vertex of $h(t)=-2t^2+16t+5$ at t = 4 and reported a maximum height of 4 meters. What was the student's mistake?

A theater's daily profit in dollars from selling x tickets is $P(x)=-0.5x^2+40x-300$. How many tickets should be sold to make the profit as large as possible?

A stone is thrown from a bridge and its height in meters is $h(t)=-5t^2+10t+15$, with t in seconds. The axis of symmetry of this parabola is t = 1. What does t = 1 tell you?

The graph shows the height in meters of a ball t seconds after it is kicked from level ground. Use the graph. How many seconds after the kick does the ball land?

A firework's height in meters is h(t) = -5(t - 6)(t + 1), with t in seconds after it leaves the launcher. Which zero of this function gives the time the firework reaches the ground?

A diver leaves a board and her height in meters above the water is $h(t)=-5t^2+5t+10$, where t is in seconds. This function has a zero at t = 2. What does that zero mean here?

A shop's daily profit in dollars is $P(x)=-2x^2+24x$, where x is the price in dollars charged for one mug. Above which price does the shop stop making a profit?

A tunnel arch is modeled by $h(x)=-0.25x^2+4x$, where h is the height in meters and x is the distance in meters across the opening. The zeros are x = 0 and x = 16. What do they represent?

The graph shows the height in meters of a drone above the ground, t seconds after a timer starts. Use the graph. How high above the ground was the drone when the timer started?

The height in meters of a ball t seconds after it is thrown is $h(t)=-5t^2+12t+30$. What does the constant 30 tell you about this throw?

A ball's height in meters is $h(t)=-5(t-2{)}^2+45$, where t is in seconds. From what height above the ground was the ball thrown?

A stall's daily revenue in dollars is R(x) = -2(x - 3)(x + 5), where x is the number of dollars added to the current price. What is the revenue when nothing is added to the price?

Two balls are thrown. Ball A: $h(t)=-5t^2+20t+12$. Ball B: $h(t)=-5t^2+25t+8$, heights in meters, t in seconds. Which statement about the starting heights is correct?

A ball's height in meters is $h(t)=-5t^2+22t+6$, where t is in seconds. How high is the ball 3 seconds after it is thrown?

The cost in dollars of running a machine for x hours is $C(x)=2x^2-12x+40$. What is the cost of running the machine for 5 hours?

A bridge arch is modeled by $h(x)=-0.5x^2+6x$, where h is the height in meters and x is the distance in meters from the left base. How high is the arch 4 meters from the left base?

The height in meters of a ball t seconds after a bounce is $h(t)=-4(t-3{)}^2+40$. What is the height of the ball 1 second after the bounce?