Answer:
We are have the function f(x).
Part 1: It is given that the function f(x) is transformed to f(x)+2.
This gives us that the function is translated 2 units upwards.
As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.
Translation does not change the behavior of the function.
So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.
Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.
Part 2: It is given that the function f(x) is transformed to 
This gives us that the function is shrinked vertically by a factor of  followed by a reflection across x-axis.
 followed by a reflection across x-axis.
Also, the y-intercept of is  .
.
The graph of f(x) after changing to  will flip over the x-axis.
 will flip over the x-axis.
So, the function  will increase or decrease when f(x) decrease or increase respectively.
 will increase or decrease when f(x) decrease or increase respectively.
Moreover,  will be even if f(x) is even or odd respectively.
 will be even if f(x) is even or odd respectively.