Question

graph of y = f of x

The diagram shows the graph for \(y = f(x)\). The curve passes through the origin, and has a maximum point at \((1, 1)\). Sketch, on separate diagrams, the graphs of

  1. \(y = f(x) + 2\),

  2. \(y = f(x + 2)\),

  3. \(y = f(2x)\),

giving the coordinates of the maximum point in each case.