Solving Quadratics Applications

Which one are we looking for?

Elliot wants to know how high the soccer ball will get if he kicks it straight up in the air.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Which one are we looking for? Jaiden wanted to know the initial height of a baseball when it was hit at home plate.

• x at vertex

• y at vertex

• positive zero

• y-intercept

What is the initial (starting) height of an object following this path? h(t) = -16t² +20t + 6

• -16 feet

• 0 feet

• 20 feet

• 6 feet

An object flies through the air and follows a parabolic path. What does the y-axis represent? 

• time 

• height from the ground 

• horizontal distance 

• money 

The parabola shows the trajectory of a tennis ball that was hit with a tennis racket. What is the starting height of the tennis ball? (Click the picture to enlarge it)

• 3 feet - y-intercept

• 12 feet - vertex

• 1.5 seconds - vertex

• 3 seconds - x-intercept

The parabola shows the trajectory of a tennis ball that was hit with a tennis racket. How long di it take for the tennis ball to hit the ground? (Click the picture to enlarge it)

• 3 feet

• 12 feet

• 1.5 seconds

• 3 seconds

What is the highest point over the water?

• 8 meters

• 1 meter

• 1 second

• 8 seconds

How long did it take to reach highest point over the water?

• 8 meters

• 1 meter

• 1 second

• 8 seconds

Does this graph have a maximum or minimum?

• Minimum

• Maximum

An object is launched upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. How long does it take for the object to hit the ground after it has been launched?

• 2 seconds

• 5 seconds

• 80 seconds

• 0 seconds