Answer :

f(x) = -1/4(x - 1)² - 3
f(x) = -1/4(x - 1)(x - 1) - 3
f(x) = -1/4(x² - x - x + 1) - 3
f(x) = -1/4(x² - 2x + 1) - 3
f(x) = -1/4(x²) + 1/4(-2x) + 1/4(1) - 3
f(x) = 1/4x² + 1/2x + 1/4 - 3
f(x) = 1/4x² + 1/2x - 2 3/4

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