Step-by-step explanation:
the first is
2(x - 1/2)² = 2(x² - 2×1/2×x + 1/4) = 2x² - 2x + 1/2
so, no, this is not the same.
the second is
2(x - 1/4)² = 2(x² - 2×1/4×x + 1/16) = 2x² - x + 1/8
that is the correct answer.
the third is
2(x - 1/8)² = 2(x² - 2×1/8×x + 1/64) = 2x² - 1/2 x + 1/32
so, no, this is not the same.
the fourth is
2(x - 1/16)² = 2(x² - 2×1/16×x + 1/256) = 2x² - 1/4 x + 1/128
so, no, this is not the same.
