QUADRATIC FUNCTION BASICS Standard form Vertex form Min or Max Zeros Axis of Symmetry Domain Range y-intercept Shape of Graph ! " = 2" % − 8" + 6 QUADRATIC FUNCTION BASICS-Example Standard form Vertex form Min or Max Zeros Axis of Symmetry Domain Range y-intercept Shape of Graph ! " = *" % + +" + , ! " = *(" − ℎ)% + 0 vertex is (ℎ, 0) Min if * > 0, Max if * < 0, located at " = 56 78 Let ! " = 0, solve. Quadratic formula, complete the square, or factor "=ℎ all the reals 9≥0 QUADRATIC FUNCTION BASICS 0, ! 0 or (0, ,) ;*<*+=>* Standard form Vertex form Min or Max Zeros Axis of Symmetry Domain Range y-intercept Shape of Graph ! " = 2" % − 8" + 6 ! " = 2(" − 2)% − 2, vertex at (2, −2) " = 2, [email protected]@?B? 1,0 *AD (3,0) "=2 "∈ℝ 9 ≥ −2 QUADRATIC FUNCTION BASICS-Example (0,6) parabola, skinnier and shifted down and right Standard form Vertex form Min or Max Zeros Axis of Symmetry Domain Range y-intercept Shape of Graph Samples $ Students can color-code $ Flaps can be left together or cut apart. $ Fits inside a composition notebook. $ All photos copyright Lisa M. Dollar $ Graphs are screencapped from www.desmos.com