Graphing Quadratic Functions-Partner Activity(two graphs on a grid, three cases)

This is a collaborative partner activity on graphing quadratic functions. Students will work through six sections as in each section partners have to graph two quadratic functions f(x) and g(x) on the same coordinate plane. Partner A will graph f(x) and partner B will graph the other function g(x). Students are also asked to solve the equation f(x)=g(x). Included are three cases:

1. The graphs don’t have points in common and respectively the equation f(x)=g(x) doesn’t have real solutions (section 1 and section 4)

2. The graphs share one common point and respectively the equation f(x)=g(x) has one real solution (sections 2 and 5)

3. The graphs have two common points and respectively the equation f(x)=g(x) has two real solutions (sections 3 and 6)

This activity can be used as independent practice as well.

The practice sheets give enough room for students to show work. Grids are provided.

Detailed answer keys are included. (The graphs are drawn by CorelDraw.)