Sasha and Keoni use the definition of a parabola, the Pythagorean theorem, and their methods from previous lessons to represent the y-value for any point on a particular parabola given the x-value of that point. In contrast to Lesson 3 in which y-values were given, in this episode x-values will be given.<\/p>\n\n\n\n
Keoni and Sasha make sense of the new situation in which the x-value is given and the y-value needs to be determined (instead of the other way around).<\/p>\n\n\n\n
Keoni and Sasha use the definition of a parabola and the Pythagorean theorem to solve for the y-value of a point on the parabola when the x-value is 5.<\/p>\n\n\n\n
Sasha and Keoni use their equation (which they call the \u201cshort-cut way\u201d) to find the y-value of 3 points: when the x-value is 5, 10 and 437.<\/p>\n\n\n\n
Sasha and Keoni generalize their \u201cshort cut\u201d method from Episode 3 by solving x = \u221a(4y) for y.<\/p>\n\n\n\n
Keoni and Sasha compare the equations x = \u221a(4y) and y = x2\/4.<\/p>\n\n\n\n
Keoni and Sasha return to the equation y = x2\/4 and derive it using the definition of a parabola, the Pythagorean theorem, and their method from Episode 2.<\/p>\n\n\n\n