A quadratic function is given.

Answer:

here we have the subsequent steps:

3(x^2 - 8x +49/3)=

=3( x^2 - 8x +16 - 16 +49/3)=

=3 [(x-4)^2 +1/3]=

= 3(x-4)^2 +1

so:

g(x) = 3(x-4)^2 +1

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