The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs, and key points on the graphs, learners determine the advantages of using one form for identifying intercepts and a different form for identifying coordinates of the vertex. In addition to the exploration, the activity includes five exercises in writing a quadratic equation whose graph satisfies certain conditions.

Common Core

HSA-SSE.B.3.a HSA-SSE.B.3.b HSF-IF.C.7.a HSF-IF.C.7.c MP1 MP5 MP7