@mathsy.io: Why does a minus flip a graph? Nothing in f(−x) says "flip". The minus works on the numbers on an axis. In f(−x) every number on the x-axis becomes its negative, so 3 lands where −3 was and the axis turns round on zero. Turn it back and the curve comes with it: a reflection in the y-axis. A minus outside, −f(x), does the same to the heights on the y-axis, so the graph reflects in the x-axis. Both at once, −f(−x), is a half turn about the origin. #graphtransformations #functions #reflections #alevelmaths

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Monday 09 November 2026 22:31:15 GMT