Find the smallest distance between the origin and a point on the parabola y = x^2 - 2.

Guest Nov 7, 2021

#3**+2 **

Thanks Bloom, the graph was a very good place to start. Give yourself a point (I already have)

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This question is a lot more involved than I first thought.

This is how I tacked it. There is more than one way and mine might not be the easiest.

Let a point on the parabola by \(K(k, k^2-2) \) Little k is a real constant.

Use pytharoras's theorem to find an expression for the square of the distance between the origin and K. Call it D

Now use calculus to find the minimum D

etc

Draw a pic to help you.

I will help more if you work with me towards the solution.

ie show what you can do so far and discuss your problems with me.

Melody Nov 7, 2021