Quadratic Feature Word Problems

When asked to find "How long did it take to reach its maximum height" what feature of a parabola are you trying to find?

• x-value of the vertex (AOS)

• y-value of the vertex

• X-intercepts

• Y-intercept

When asked to find "From what height was the object launched?" what feature of a parabola are you trying to find?

• x-value of the vertex (AOS)

• y-value of the vertex

• X-intercepts

• Y-intercept

When asked to find "What was the Maximum Height reached by the object?" what feature of a parabola are you trying to find?

• x-value of the vertex (AOS)

• y-value of the vertex

• X-intercepts

• Y-intercept

When asked to find "How long did it take for the object to hit the ground?" what feature of a parabola are you trying to find?

• x-value of the vertex (AOS)

• y-value of the vertex

• X-intercepts

• Y-intercept

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function : h(t) = -16t^2 + 40t + 10 How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

When would you reach 16 feet above the water?

• 8 seconds

• 1 second

• 1/2 second

• 1/4 second

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

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

What is the maximum profit you can make from selling tickets?

• $6060

• $20

• $600

• $10,250

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

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?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds