Why is the tangent equation parallel to the parabola y = x & # 178; with the straight line 2x-y + 4 assumed to be X & # 178; - 2x-c = 0

Why is the tangent equation parallel to the parabola y = x & # 178; with the straight line 2x-y + 4 assumed to be X & # 178; - 2x-c = 0

Y '= 2x2x = 2, that is, x = 1. The tangent equation of y = X2 is 2x-y-1 = 0, which is a parabola parallel to the straight line 2x-y + 4 = 0. Method 2