Suppose 2 4 is a point on the graph fx which point must be o

Suppose (2, 4) is a point on the graph f(x), which point must be on the graph of: f(-x)-4

Solution

Let f(x) be a function, then f(-x)-4 can be obtained by reflecting the graph of f(x) along y-axis and then shift the graph 4 unit down.

hence when we reflect the point (2,4) about y axis it becomes (-2,4) and then shifting 4 unit down gives (-2,0).

Hence (-2,0) must be on the graph of f(-x)-4.