Answer:
The given transformation are;
1) Parent function = f(x)
2) Transformation A = f(x + 5)
3) Transformation B = f(x) + 3
Step-by-step explanation:
1. The question being asked in the problem is the representation of the transformation of the given figure which is a function (the curved line that runs through the hands of Pi-guy in the drawing) in functional notation using f(x) to represent the function
2. Try using changes along the x axis as changes in the independent variable, x, in the function f(x) as follows;
Initial position of the parent function = f(x)
Transformation A, which is a translation, 5 units to the right along the x axis = f(x + 5)
Transformation along the y-axis where x = 0, as addition or subtraction to the parent function
Therefore;
Transformation B, which is a translation, 3 units to the up along the y-axis with x at 0 = f(x) + 3
3. The outline of the answers can be presented as follows
The given transformation are;
1) Parent function = f(x)
2) Transformation A = f(x + 5)
3) Transformation B = f(x) + 3
4. The above expression can be checked by considering the curve of the function as a figure and performing the given translations on all points on the figure
