Question

Drag number to the blanks to write a quadratic function, f(x), that has zeros at x = 2 and x = 6. f (x) = x2 + ___ x + ___

Answer 1

f(x) = x² - 8x + 12

Explanation:

Given the zeros are x = 2 and x = 6 then the corresponding factors are

(x - 2) and (x - 6)

The function is then the product of its factors

f(x) = (x - 2)(x - 6) ← expand using FOIL

f(x) = x² - 8x + 12