QUESTION 20 In the diagram, the graph of \(y=f(x)\) is shown with solid lines. The graph shown with broken...

QUESTION 19 (a) Express \(2x^{2}-8x+14\) in the form of \(2\).   The function \(f\) and \(g\) are defined...

QUESTION 18 (a) The graph of \(y=f(x)\) is transformed to the graph of \(y=2f(x-1)\). Describe fully the two single...

QUESTION 17 Functions \(f\) and \(g\) are defined by: \(f : x \rightarrow 2x+3\) for \(x \le 0\), \(g...

QUESTION 16 A function f is defined by \(f:x\rightarrow3\cos x-2\) for \(0\le x\le2\pi\). (i) Solve the equation \(f(x)=0\). ...

QUESTION 15 Function f and g are both defined for \(x\in \mathbb{R}\) and are given by: \(f(x)=x^{2}-2x+5\) \(g(x)=x^{2}+4x+13\) (a)...

QUESTION 14 The graph \(y=f(x)\) is transformed to the graph of \(y=f(2x)-3.\). (a) Describe fully the two single transformations...

QUESTION 13 (a) Express \(-3x^{2}+12x+2\) in the form \(-3(x-a)^{2}+b\), where \(a\) and \(b\) are constants.   The one-one...

QUESTION 12 The diagram below shows the graph of \(y=f(x)\). (a) On this diagram, sketch the graph of \(y=f^{-1}(x)\)....

QUESTION 11 The function \(f\) is defined by \(f(x)=\dfrac{48}{x-1}\) for \(3\le x\le7\). The function \(g\) is defined by \(g(x)=2x-4\)...