Which polynomial function could be represented by the graph below? a. f(x) = x2 – 6x + 8b. f(x) = 3x2 – 18x + 24c. f(x) = x2 + 6x + 8d. f(x) = 3x2 + 18x + 24

f(x) = x² - 6x + 8

from the graph the zeros are x = 2 and x = 4, hence

the factors are (x - 2) and (x - 4), thus

f(x) = (x - 2)(x - 4) ← expand factors

f(x) = x² - 6x + 8 is a possible polynomial

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.