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

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 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 01 Functions f and g are defined as follows: \(f(x)=(x-2)^{2}-4\) for \(x \ge 2\) \(g(x)=ax+2\) for \(x \in...

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

QUESTION 02 The one-one function f is defined by \(f(x)=(x-2)^{2}+2\) for \(x \ge c\), where c is a constant....

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 03 The function \(g\) is defined by \(g(x)=x^{2}-6x+7\) for \(x > 4\). By first completing the square, find...

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