Tricia completed the square of the quadratic function f (x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result?

f (x) = (x + 7) ² + 47

f (x) = (x + 7) ² - 47

f (x) = (x - 7) ² + 47

f (x) = (x - 7) ² - 47

Question

Tiffany Meyer

Mathematics

6 September, 13:53

Tricia completed the square of the quadratic function f (x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result?

f (x) = (x + 7) ² + 47

f (x) = (x + 7) ² - 47

f (x) = (x - 7) ² + 47

f (x) = (x - 7) ² - 47

+4

Answers (1)

Know the Answer?

Kira Morton · Answer 1

f (x) = (x + 7) ² - 47

Step-by-step explanation:

Given

f (x) = x² + 14x + 2

To complete the square

add/subtract (half the coefficient of the x - term) ² to x² + 14x

f (x) = x² + 2 (7) x + 49 - 49 + 2

= (x + 7) ² - 47

Tricia completed the square of the quadratic function f (x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result?f (x) = (x + 7) ² + 47f (x) = (x + 7) ² - 47f (x) = (x - 7) ² + 47f (x) = (x - 7) ² - 47

Tricia completed the square of the quadratic function f (x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result?

f (x) = (x + 7) ² + 47

f (x) = (x + 7) ² - 47

f (x) = (x - 7) ² + 47

f (x) = (x - 7) ² - 47