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Exploring Standard Form Quadratic Equations in Geometer’s Sketchpad Name________________________________ Start Up Directions: 1.) Graph | Define Coordinate System 2.) Graph | New Parameter. Label the new parameter a. OK. 3.) Graph | New Parameter. Label the new parameter b. OK. 4.) Graph | New Parameter. Label the new parameter c. OK. 5.) Graph | Plot New Function. Click the parameters in the sketch to enter them (a=, b=, c=). Enter a * x 2 + b * x + c . Select parameter a only. Change its value by pressing the + and – keys. ! Describe the TWO things that happen to the graph as you change parameter a ? 1.) __________________________________________________________ 2.) __________________________________________________________ What special property does the graph have when a = 0 ? ___________________ Select parameter b only. Change its value by pressing the + and – keys. What happens to the graph as you change parameter b ? _______________________ _____________________________________________________________________ What special property does the graph have when b = 0 ? ________________________ _____________________________________________________________________ Select parameter c only. Change its value by pressing the + and – keys. What happens to the graph as you change parameter c ? _______________________ _____________________________________________________________________