The graph of y = -(x² - 12x + 20) is a reflection of the graph of y = x² - 12x + 20 about the x-axis.

-y

They are the same.

The graph of y = |x² - 12x + 20| is[br]- the same as the graph of y = x² - 12x + 20 for x ≤ 2 or x ≥ 10, and[br]- the same as the graph of y = -(x² - 12x + 20) for 2 < x < 10.[br][br]This is because[br]- when x ≤ 2 or x ≥ 10, x² - 12x + 20 is non-negative, so |x² - 12x + 20| = x² - 12x + 20, and[br]- when 2 < x < 10, x² - 12x + 20 is negative, so |x² - 12x + 20| = -(x² - 12x + 20).