(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Parabolas with vertex on the x-axis,with axis parallel to the y-axis,and with distance from focus to vertex fixed as "a".

the question is pick your own value of "a". Then for "a" value pick value of "h". What does it mean? I'm confuse.. T__T

2. Relevant equations

(x-h)² = ±4a(y-k)

(x-h)² = ±4ay

k=0

3. The attempt at a solution

(x-h)² =4ay

2(x-h) =4ay'

answer is (x-h) 2ay'

square both sides

(x-h)² = 4a²(y')²

substitute

4a²(y')² = 4ay

a(y')² = y

I don't know what will happen if i choose a value of "a" then it will generate a value of "h".. T__T

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# Homework Help: Family of curves problem

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