Rewrite the function by completing the square. f(x)=x^2-9x+14

Question

asked Feb 28, 2022 29.6k views

2 Answers

Mduvall · Answer 1 · 2022-03-06T11:10:00+0000

Answer:

f(x)=(x-9/2)²-25/4

Explanation:

f(x)=x²-9x+14

f(x)=x²-9x+(-9/2)²-(-9/2)²+14

f(x)=(x-9/2)²-81/4+14

f(x)=(x-9/2)²+(-81+56)/4

f(x)=(x-9/2)²-25/4