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a. reflection over the y-axis and 4 units down
Explanations:Note:
If f(x) is reflected over the x-axis, it becomes -f(x) because the y coordinate is negated.
If f(x) is reflected over the y-axis, it becomes f(-x) because the x coordinate is negated.
Therefore, for f(-x)-4, f(x) is reflected over the y-axis, and then translated 4 units down