Critique:
For the parent function f(x) = √x, there are two transformations involved. Malik has correctly identified them as ...
- x is replaced by -x
- 3 is added to the argument of the sqrt function.
There are two issues with Malik's analysis.
- Making the transformation g(x) = f(-x) reflects f(x) over the y-axis, not the x-axis.
- In order to get h(x) = √(-x+3) from g(x) = √(-x), the value of x must be replaced by (x-3), not (x+3). That is ...
h(x) = g(x -3) = √(-(x-3)) = √(-x +3)
Since g(x) is the parent function reflected over the y-axis, replacing x by x-3 shifts the reflected function to the right by 3 units.
