[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given that,
To find f (0), we need to substitute 0 in the place of x.
[tex] \sf \: f(x) = 2 {x}^{2} + 3 \\ \longmapsto \sf \: f ( 0 ) = 2 ( 0 ) ^ { 2 } + 3[/tex]
Calculate 0 to the power of 2 and get 0.
[tex] \sf \: f(0) = 2\times 0+3 [/tex]
Multiply 2 and 0 to get 0.
[tex] \sf \: f(0) = 0+3 [/tex]
Add 0 and 3 to get 3.
[tex] \boxed{ \boxed{ \bf \: f(0) = 3}}[/tex]