help Algebra

I graphed it for you, can you take it from here now?

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.