Question

If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the new function?

Answer 1

I think the answer would be -3(x+1)^2. The website Mathbitsnotebook.com/Algebra1/Quadratics should help if you have more questions. 

Answer 2

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