The given function is a parabolic function which can also be rewritten as
This function has the identity of y = x^2. From this point, let's describe the transformation that will happen from y = x^2 going to y=2-(x+5)^2.
1. The first transformation involves changing the sign of the term with x^2 from positive to negative. Since y = x^2 opens upward, the change of sign from positive to negative will make the parabola open downwards.
2. The term +2 means that the parabola will shift 2 units up.
3. The term + 5 on -(x+5)^2 will shift the parabola horizontally by 5 units to the left.
The transformation can be described in the figure as