If O is the origin and Q is a variable points on `x^2=4ydot` Find the locus of the mid pint of OQ.

Explanation

Since M is the midpoint

`frac{a+0}{2}=h, frac{b+0}{2}=k`

`a=2h, b=2k`

Since `(a, b)` lies on `x^2=4y`

`(2h)^2=4(2k)=> h^2=2k=>x^2=2y`