Exam-Style Questions on Completing The Square

Problems on Completing The Square adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

Given that $$x^2 – 8x + 3 = (x – a)^2 – b$$ for all values of x,

(a) find the value of a and the value of b.

(b) Hence write down the coordinates of the turning point on the graph of $$y = x^2 – 8x + 3$$

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