The curve with equation f(x) is translated so that y = the point at (0, 0) is mapped onto the point (4, 0). (a) Find an equation of the translated curve. ..................................... (2) The grid shows the graph of cos for values of y = x° x from 0 to 540 (b) On the grid, sketch the graph of 3 cos (2x°) for y = values of from 0 to 540 x (2) (Total 4 marks) 27. The graph of = f(x) is shown on the grids. y (a) On this grid, sketch the graph of = f(x) 4 y – (2) (b) On this grid, sketch the graph of = f(x). y (2) (Total 4 marks) 28. For all values of and 2mx = (x x m, x2 m)2 k – – – (a) Express in terms of k m.
The curve with equation y = f(x) is translated so that the point at (0, 0) is mapped onto the point (4, 0). (a) Find an equation of the translated curve. ..................................... (2) The grid shows the graph of y = cos x° for values of x from 0 to 540 (b) On the grid, sketch the graph of y = 3 cos (2x°) for values of x from 0 to 540 (2) (Total 4 marks) 27. The graph of y = f(x) is shown on the grids. (a) On this grid, sketch the graph of y = f(x) – 4 (2) (b) On this grid, sketch the graph of y = f(x). (2) (Total 4 marks) 28. For all values of x and m, x2 – 2mx = (x – m)2 – k (a) Express k in terms of m.