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Let f be a function such that f'(x)=f(-x) for all real numbers x. If the point (-2, 4) lies on the graph of y=f(x) in the xy-plane, which of the following points must also lie on the graph of y = f(x)?

In the xy-plane, the graph of the equation y = x ^ 2 is stretched by a factor of 3 in the vertical direction. The resulting graph is then translated 5 units upward, and finally the translated graph is reflected across the x-axis. Which of the following is an equation of the final result?