The model demonstrates a process of a parabola construction using a perfect square method. The function is reduced to form f(x) = k(xm)^{2} + n where k=a, m=b/2a and c = D/4a. Use stepbystep transformation of x^{2} function graph to construct the graph of the given function. First, x^{2} is shifted by m to (xm)^{2}. Second, it is stretched k times. Finally, it`s shifted up by n. If you enter a function in canonical form ax^{2}+bx+c in text field f(x) then the model will show a perfect square method. Press the Step button to observe the transformations.
