Pretty sure it would just be y = 2x
It runs parallel to y=2x + 1 and would be perpendicular to the tangent lines at those points.
Are you supposed to find one line that will apply to both graphs?
You want the normal to be parallel to .
To find the x-coordinates of the required normal solve : x = 0, 2.
Therefore the required normal is normal to the curve at (0, 0) and (2, 4). The equation of this normal is y = 2x.
Note: The normal is also the line of symmetry of the curve.