ANSWER
[tex]{(x + 1)}^{2} =12(y - 2)[/tex]
EXPLANATION
The original parabola has equation
[tex] {x}^{2} = 12y[/tex]
This parabola has its vertex at the origin:
If the parabola is shifted one unit left and two units up, then its new vertex is at (-1,2).
The equation of the new parabola is now of the form:
[tex] {(x - h)}^{2} =1 2(y - k)[/tex]
where (h,k) is the vertex.
Substitute the vertex to get:
[tex] {(x - - 1)}^{2} =12(y - 2)[/tex]
[tex]{(x + 1)}^{2} =12(y - 2)[/tex]
