Applications of Quadratic Function

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

If the a value is positive, which direction does the graph open?

• up
• down
• left
• right

If the a value is negative, which direction does the parabola open?

• up
• down
• left
• right

An object flies through the air and follows a parabolic path. Which of these typically represents the x-axis? 

• time 
• height from the ground 

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

Hint: Key into Desmos!

• -16 feet

• 0 feet

• 20 feet

• 6 feet

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

What is the highest point over the water?

• 8 meters

• 1 meter

• 1 second

• 8 seconds

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

An object in launched directly upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. What is the maximum height?

• 144 feet

• 80 feet

• 16 feet

• -16 feet

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