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**Working**

a) Write *x*^{2} – 8*x* + 25 in the form (*x* – *a*)^{2} + *b*.

b) Write down the coordinates of the turning point of the graph of *y* = *x*^{2} – 8*x* + 25.

c) Hence describe the single transformation which maps the graph of *y* = *x*^{2} onto the graph of *y* = *x*^{2} – 8*x* + 25.

**Question**

15 a) Write *x*^{2} – 8*x* + 25 in the form (*x* – *a*)^{2} + *b*.

**[3 marks]**

b) Write down the coordinates of the turning point of the graph of *y* = *x*^{2} – 8*x* + 25.

**[2 marks]**

c) Hence describe the single transformation which maps the graph of *y* = *x*^{2} onto the graph of *y* = *x*^{2} – 8*x* + 25.

**[2 marks]**