Exam-Style Question on Completing The Square
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 503. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is not allowed.
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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