How to express quadratic function into standard?

Question

how can i express these 2 quadratic functions into standard form

f(x)=x^2+4x+1

f(x)=2x^2+12x+12

both have to be in standard form. explanation is greatly appreciated

Answer 1

A quadratic function is given.

a). express the quadratic function in standard form

b). sketch its graph

c). find it's maximum or minimum value

g(x) = 3x2(squared) + 12X + 13