Question

F(x) = x2 – 8x + 19

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=
Express f(x) in the form (x + a)? + b, where a and b are constants.
16
(2 marks)
f(x) = 0
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Answer 1

f(x) = (x - 4)² + 3

Explanation:

f(x) = x² - 8x + 19

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

f(x) = x² + 2(- 4)x + 16 - 16 + 19

= (x - 4)² - 16 + 19

= (x - 4)² + 3