Question

Rewrite the function by completing the square.
f(x) = x² - 9x + 14

F(x)=?(x+?)^2+?

Answer 1

(x-9/2)²-25/4

Explanation:

x² - 9x + 14

to complete the square , need to add a term (b/2)²: (-9/2)²=81/4

x² - 9x -81/4+ 14+81/4

x²-9x+81/4=(x-9/2)²

14-81/4=66-81/4=-25/4

(x-9/2)²-25/4