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## A-Level Mathematics: Describing sequence of transformation & sketching graphs

The graph of y = f(x) is shown above. (a) The graph of y = f(2 – x) is obtained when the graph of y = f(x) undergoes a sequence of transformation. Describe the sequence of transformations. (b) Sketch the graph of y = f’(x), stating the equations of any asymptotes and...

## A-Level Mathematics: Illustrating the locus of the point representing the complex number z in an Argand diagram.

Given that |z – 2i| < 4, illustrate the locus of the point representing the complex number z in an Argand diagram. Hence find the greatest and least possible values of |z – 3 + 4i|, given that |z – 2i|< 4. Source: 2003 GCE A-Level Mathematics How can we approach...

## A-Level Mathematics: Solve (3x+1)/(x-1) ≤ 2

← Previous Next → Find the solution of How can we approach the question? There are 2 approaches to the question – Algebraically or Graphically. Algebraic method Remember not to ‘multiply both sides of the inequality’ by (x-1). Since we do not know whether...