How can I do "Map" on a binary function?

Question

If there is a one-variable function, we can f/@{a,b,c} to get {f[a],f[b],f[c]}

What to do with it if it comes to a binary function f[#1,#2]&, and a list {a,b,c}

and we want to "Map" it into a list funtion {f[#1,a],f[#1,b],f[#1,c]}&

I have found a strange way:

MapThread[f,{Table[#,3],{a,b,c}]&

though mathematica can't expand it, but it can actually work?! [doge]

if we add [x] behind it, we get the answer

MapThread[f,{Table[#,3],{a,b,c}]&[x]
>>> {f[x, a], f[x, b], f[x, c]}

Answer 1

Function[{x},f[y,x]] /@ {a,b,c} //
Function[y,#]&

Function[y, {f[y, a], f[y, b], f[y, c]}]

Also, you may want to check this: https://en.wikipedia.org/wiki/Currying