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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
20 Dec 2021

Given information

We are given the parabolic equation .

Step-by-step explanation

Step 1.
- parabola ;
We need to find where does the normal line to the parabola at this point intersect the parabola at second time.
Function is a differentiable function, so applying the Power Rule we obtain:
Now find the slope of a tagent at :
The normal line has a slope perpendicular to the slope of the tangent, hence
Let's find the equation of the normal line:
Now find the intersection between the normal line and the parabola :
We already know about the point , so the other point is :
 

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