Question

Which function is equivalent to g(x) = 9 x2 - 24 x + 16?

Answer 1

Explanation:

discriminant = (-24)² - 4(9)(16) = 0, so there are two identical roots.

That eliminates choices 2 and 4.

Quadratic formula

x = [24 ± √(24² – 4·9·16)] / [2·9]

 = 24 / 18

 = 4/3

9x² - 24x + 16 = 9(x-4/3)² = (3x-4)²