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Focus distances in intervals

Attachment 24526

Problem above, I use the distance formula from the focus to the intervals(0/20/40/60/80/100).

I use x^{2}=4(1/4)y as the formula but end up with answers far too large using the distance formula.

Where am I going wrong?

answers are:10/11.6/16.4/24.4/35.6/50

finding a formula on my calculator(guessing and checking parabolas that fit into the given coords)

gives me the solutions, is there no other way to solve without a calculator?Feels like I'm cheating (Shake)

formula is y=.004x^2

Re: Focus distances in intervals

Re: Focus distances in intervals

Thanks again Soroban, believe it or not I feel much better knowing I only slightly cheated.