I am new to Mathematica, and I need to use Mathematica to draw a parabola as below.
H[x_, y_] = x^2 + 2*(k - 2 y)*x - 2 y (1 - 2 y) + (1 - k)^2 = 0
I need a code such that whenever I input a parameter for k, it will draw the corresponding parabola and its focus as well as its directrix.
Can anyone help? Thanks.