Analyzing Quadratic Functions in Motion

The video tutorial explains how to model the height of an angry bird using a quadratic function. It covers graphing the function on a TI-84 calculator, calculating the initial height, finding the vertex for the highest point, determining when the bird hits the ground, and calculating the distance traveled. The tutorial concludes with identifying the practical domain and range of the function.

What is the purpose of the quadratic function in the context of the angry bird?

• To find the weight of the bird

• To determine the color of the bird

• To model the height of the bird over time

• To calculate the speed of the bird

What is the initial height of the bird when it is launched?

• 0 feet

• 10 feet

• 25 feet

• 19 feet

How can the initial height of the bird be determined from the quadratic function?

• By finding the vertex

• By solving for the roots

• By calculating the derivative

• By identifying the vertical intercept

After how many seconds does the bird reach its highest point?

• 10 seconds

• 5 seconds

• 1.5 seconds

• 3.26 seconds

What is the height of the bird at its highest point?

• 15 feet

• 19 feet

• 21.45 feet

• 25 feet

What method is used to find when the bird hits the ground?

• Elimination method

• Intersection method

• Derivative method

• Substitution method

At what time does the bird hit the ground?

• 10 seconds

• 12.92 seconds

• 5 seconds

• 15 seconds

How far does the bird travel before hitting the ground if it travels at 18 feet per second?

• 150 feet

• 200 feet

• 232.56 feet

• 300 feet

What is the practical domain of the function in terms of time?

• [0, 10]

• [0, 20]

• [0, 15]

• [0, 12.92]

What is the practical range of the function in terms of height?

• [0, 21.45]

• [0, 25]

• [0, 19]

• [0, 15]