#### Answer

Start with the graph of $y=x^2$. Translate it leftwards by $3$ and stretch it vertically by the factor of $4$ and then translate it upwards by $6$.

#### Work Step by Step

Start with the graph of $y=x^2$.
1) Translate the graph leftwards by $3$ to get the graph of $y=(x+3)^2$;
2) Stretch the previous graph vertically by the factor of $4$ to get the graph of $y=4(x+3)^2$;
3) Translate the previous graph upwards by $6$ to get the graph of $y=4(x+3)^2+6$.