Task+2

1. Use this link to a graphing tool to explore the effects of the "a, b, and c" coefficients in a quadratic equation in standard form. Use the slides to the left of the graph to make adjustments to the numbers and changes to the graph. Summarize your findings and observations. Be sure to discuss all three letters because they all affect the graph in different ways. Also, if we were to do this same thing with a linear graph... how would you describe the affects of the "m and b" in the slope-intercept form of the equation? Are there any similarities between the linear coefficients and the quadratic coefficients?

Directions: once you click on this link, you will need to click on the button that says "click here to start" which is below __Interactive Tutorial(1)__. http://www.analyzemath.com/quadraticg/quadraticg.htm

2. Watch the following video and take notes on the discriminant and the 3 hints it can offer. media type="custom" key="10350616"

3. Now, to make a few more observations, we are going to look at Quadratic Equations in a different form. This graphing tool allows us to put in a specific equation and see what it looks like. Type the following equations into the graph and see if you can make a connection between the numbers in the equation what the graph looks like or where it is located on the coordinate plane. http://www.mathworksheetsgo.com/tools/free-online-graphing-calculator.php If you need more equations to find the pattern, then continue testing different numbers in this format.

4. Now that you've made your predictions, click on "Transforming Parabolas" on this website http://hotmath.com/learning_activities/algebra1a_activities.html and change the values of a, h, and k to see if your observations were correct.