The parent function for quadratic equations is as followed:
[tex]y=a(bx-h)+k[/tex]
where a and b represent vertical and horizontal stretches, respectively, h is the horizontal shift, and k is the vertical shift.
So going from [tex](3x)^2[/tex] to [tex](3x+1)^2+6[/tex],
We are shifting 1 to the left and 6 up.
The horizontal shift is in the negative direction because in the equation, h=-1 because:
[tex](x-(-1))^2=(x+1)^2[/tex]
The answer is A.
