I'm confused why my teacher is using a different form than the book of the standard equation of a parabola. Teacher: y - k = (1/(4d))(x-h)^2 Book: (y - k)^2 = 4p(x - h), p != 0 Are the two equations the same? Any help is appreciated. Thanks!
Follow Math Help Forum on Facebook and Google+
Originally Posted by ArcherSam y - k = (1/(4d))(x-h)^2 Multiply both sides of the equation by 4d, i.e. (x - h)² = 4d(y - k). If d < 0, then the graph opens down, and if d > 0, then the graph opens up. Originally Posted by ArcherSam (y - k)^2 = 4p(x - h) If p < 0, then the graph opens left, and if p > 0, then the graph opens right.
Thanks! So the two equations are equal. [] Solution give by johnny!: y-k = (1 / (4d))(x -h)^2 (4d / 1)(y - k) = (4d / 1)(1 / (4d))(x - h)^2 (x - h)^2 = 4d(y - k)