Quadratic Basketball 2

Dr. Fisher, Mar 20, 2016

In this GeoGebra book, you'll use two apps to explore the properties of quadratic functions. Both apps show a person shooting a basketball. You are asked to trace their shot with a parabola using sliders. The first app gives you sliders for the standard form, and the second app gives you sliders for the vertex form. Which formula is easier to use in this case?


  • 1. Quadratic 2 in Standard Form
  • 2. Quadratic 2 in Vertex Form

1.

Quadratic 2 in Standard Form

The quadratic function f(x) is shown in standard form. One of a or b is true; one of c or d is true, and one of p or q is true. Use the sliders and these hints to find a formula for the path of the basketball.

What is the domain of this function? Does it make sense for x to be negative? What is the range of this function? What do each of the sliders A, B, and C do to the graph? How many seconds does it take for the ball to reach the top of it's arc?
– Dr. Fisher

2.

Quadratic 2 in Vertex Form

The quadratic function f(x) is shown in vertex form. One of a or b is true; one of c or d is true, and one of p or q is true. Use the sliders and these hints to find a formula for the path of the basketball.

What is the domain of this function? Does it make sense for x to be negative? What is the range of this function? What do each of the sliders A, h, and k do to the graph? How many seconds does it take for the ball to reach the top of it's arc?
– Dr. Fisher

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