projecting nodes from straight line over a parabola

Question:

 sir,

I want to project the nodes from a straight line over a parabola, but to make a parabola those 3 points are needed...these 3 points are not inline  from where i want to project these nodes , and i cant change the position of these three points as it will change the shape of parabola , 

so as i project the parabola over these three points , by selecting option "projection line" and divinding it in equal parts as needed . the nodes are not projecting as required.

i also tried to use project nodes option , but it didnt work.

thankyou sir

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Answer:

Hello,