The graph shown is a translation of the graph of f(x)=x^2. Write the function in vertex form.

[tex] \sf \longrightarrow \: f(x) = {x}^{2} [/tex]
Write the parent function in the standard form I.e.
[tex] \boxed{ \tt \:y =a(x - h) \times 2 + k }[/tex]
Where,
[tex] \sf \longrightarrow \:y= 1(x - 0)^{2} \times 2 + 0[/tex]
[tex] \sf \longrightarrow \: y = (x - 0) ^{2} \times 2 + 0[/tex]
[tex] \sf \longrightarrow \: y = {x}^{2} \times 2[/tex]
[tex] \sf \longrightarrow \: y = 2{x}^{2} [/tex]