4. Write the transformed equation if $f(x)=x^{2}$ undergoes the following transformation: a vertical stretch of factor 3, shifted down 6 units, reflected in the $x$-axis and shifted to the left 2 units.
f(x) = -3(x+2)^2 - 6
Step 1 :f(x) = x^2
Step 2 :f(x) = 3x^2
Step 3 :f(x) = -3x^2
Step 4 :f(x) = -3x^2 - 6
Step 5 :f(x) = -3(x+2)^2 - 6