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?
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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.