1. The graph of y = f (− x) is a reflection of the graph of y = f (x) in the x-axis.
2. The graph of y = − f (x) is a reflection of the graph of y = f (x) in the y-axis.
3. The graphs of f (x) = |x| + 6 and f (x) = |− x| + 6 are identical.
4. If the graph of the parent function f (x) = x2 is shifted six units to the right, three units up, and reflected in the x-axis, then the point (−2, 19) will lie on the graph of the transformation.
Determine whether the statement is true or false. Justify your answer.