**1.**
The diagram above shows a sketch of the curve with the equation *y* = f(*x*), *x*.
The curve has a turning point at *A*(3, – 4) and also passes through the point (0, 5).
(a) Write down the coordinates of the point to which A is transformed on the curve with equation
(i)
(ii) y = 2f
**(4)**
(b) Sketch the curve with equation
**(3)**
On your sketch show the coordinates of all turning points and the coordinates of the point at which the curve cuts the y-axis.
The curve with equation y = f(x) is a translation of the curve with equation y = x^{2}.
(c) Find f(x).
**(2)**
(d) Explain why the function f does not have an inverse.
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