Below is the graph of [math]x^2[/math]. This function is set up with the following equation [math]A* x^2 + B[/math] Using the sliders (A and B), we are going to change the numbers we add to the function(B) and the number multipled by [math]x^2[/math] (A).
We can change the growth of the function by changing the constant(A) multiplied by [math]x^2[/math]. 1) Move the slider A to A= 2 a)how did the graph change? 2) Move the slider A to A= -2 a) how did the graph change? 3)Continue moving the slider A from negatives to positives a) How does the graph differ when negative? Positive? b) How does the graph change as the number gets bigger? smaller? c) Summarize what you learned about changes in the graphs as the slider A moves? d) What effects does moving slider A have on the the equation? Slider B 4) Move the slider B to B= 3 a) How did the graph change? 5) Move the slider A to A= -3 a) How did the graph change? 6) Continue moving the slider B from negative to positive a) How does the graph differ when negative? Positive? b) How does the graph change as the number gets bigger? smaller? c) Summarize what you learned about changes in the graphs as the slider B moves? d) What effects does moving slider B have on the the equation? 7) Continue moving both A and B and reflect on how each time the equation and the graph change. How is this similar to other equations you have seen(Linear)? How is it different?