Which quadratic function is represented by the table?

B) f (x) = 3x² - 2x + 5

Step-by-step explanation:

To find the correct quadratic function that represents the table, you must substitute [x] into the quadratic function.

A) f (x) = 3x² + 2x - 5

B) f (x) = 3x² - 2x + 5

C) f (x) = 2x² + 3x - 5

D) f (x) = 2x² - 2x + 5

A. 3 (-2) ² + 2 (-2) - 5 =

3 (4) - 4 - 5

12 - 4 - 5

12 - 9

= 3

B. 3 (-2) ² - 2 (-2) + 5 =

3 (4) + 4 + 5

12 + 9

= 21

C. 2 (-2) ² + 3 (-2) - 5 =

2 (4) - 6 - 5

8 - 11

= - 3

D. 2 (-2) ² + 2 (-2) + 5 =

2 (4) - 4 + 5

8 - 4 + 5

8 + 1

= 9

Your correct answer is: B