Keoni and Sasha compare the graphs of y = x2<\/sup>\/(4p) for p-values of 1\/4, 1\/2, and 1. They figure out the effect that changing the value of p has on the graph of the parabola.<\/p>\n\n\n\n Sasha and Keoni use the equation y = x2<\/sup>\/(4p) to plot a parabola for p = 1\/4. They make a conjecture for how the shape of the parabola will change as gets larger.<\/p>\n\n\n\n Keoni and Sasha continue to explore the role that the p-value has on the shape of the graph of parabolas represented by y = x2<\/sup>\/(4p). They graph a parabola with a p-value of 1\/2, and compare it to the graph of a parabola with a p-value of 1\/4 from Episode 1.<\/p>\n\n\n\n Keoni and Sasha reflect on the two parabolas that they graphed in Episodes 1 and 2 (y=x2<\/sup> and y=x2<\/sup>\/2). They notice several features of the parabolas that change when the p-value increases from 1\/4 to 1\/2.<\/p>\n\n\n\n Keoni and Sasha continue to increase the p-value and investigate what happens to the graph of the parabola. In this episode, they graph a parabola with a p-value of 1.<\/p>\n\n\n\n Sasha and Keoni reflect on their graphs of y = x2<\/sup>\/(4p) with p-values of 1\/4, 1\/2, and 1. They consider the effect of increasing and decreasing the p-value on the graph of the parabola.<\/p>\n\n\n\nEpisode 1: Making Sense <\/a><\/h5>\n\n\n\n
Episode 2: Exploring<\/a><\/h5>\n\n\n\n
Episode 3: Reflecting<\/a><\/h5>\n\n\n\n
Episode 4: Repeating Your Reasoning <\/a><\/h5>\n\n\n\n
Episode 5: Reflecting <\/a><\/h5>\n\n\n\n