Investigation: Will it Hit the Hoop?
For this investigation, you will need to use the Geogebra graphing software package. If you do not already have this software, you can download it here. This is a free download.
To complete the investigation, please follow the following procedure.
To complete the investigation, please follow the following procedure.
 Watch the Act One video clip for Take One.
 Open the .gbb Geogebra file for Act Two, Take One. You may have to adjust the image until you see three sliders near the top of the page, and the x  axis at the bottom of the page.
 Adjust the sliders until you have created a graph that fits the path of the ball. Your goal is to model the ball's path to see if he will make a basket; not all of his attempts are successful, so do not try to just come up with a path that goes through the basket.
 Write down the equation you get for each of your graphs shown on the bottom of the page. You will notice that these equations are in vertex form.
 Answer the question, "Will it hit the hoop?"
 Repeat steps 1  5 for each of the remaining takes.
"Will it Hit the Hoop" by Dan Meyer, CC  BY NC
Act One Videos
Take One Take Two
Take Three
Take Four

Act Two Geogebra files
Take One
Take Two
Take Three
Take Four

Use your observations from the investigation to complete the following in a wordprocessed document.
 Describe the effect that changes in the parameter a has on the graph of the parabola.
 Describe the effect that changes in the parameter h has on the graph of the parabola.
 Describe the effect that changes in the parameter k has on the graph of the parabola.
Please submit all of the completed written work for this investigation to your teacher for evaluation and feedback; this includes your equations and answers from the video and Geogebra investigations, and your responses to the three items above.
This completes first level of Quadratic Quandary!
Once you have successfully completed this investigation, your your teacher will give you approval to move on to the next level.
Next, go to the "Level Two: Graphs Using Vertex Form" page, or click on the button below to continue the adventure!
Once you have successfully completed this investigation, your your teacher will give you approval to move on to the next level.
Next, go to the "Level Two: Graphs Using Vertex Form" page, or click on the button below to continue the adventure!