Question

Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b

Answer 1

a = b = 1

Explanation:

x² - 2x + 2 = ( x - a )² + b

x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1

a = b = 1