If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the new function? Shift 1 unit left. Vertically stretch by a factor of 3. Reflect over the x-axis.

Please use "^" to denote exponentiation.

Start with f(x) = x^2.  Shifting the graph of f(x) 1 unit to the left results in

g(x) = (x+1)^2.

Vertically stretching the graph of g(x) by a factor of 3 results in
h(x) = 3(x+1)^2.

Reflecting h(x) over the x-axis results in k(x) = -3(x+1)^2