Question

Rewrite the function by completing the square. f(x)=x^{2}+16x-46

Answer 1

`f(x)=(x+8)^(2)-110`

Explanation:

`f(x)=x^(2)+16x-46 \\=x^(2)+2* 8* x-46 \\=x^(2)+16x+8^2-8^2-46 \\=(x+8)^(2)-64-46\\f(x)=(x+8)^(2)-110`

Answer 2

x^2 + 16 - 46 = x^2 + 16 + 8^2 - 46 - 8^2 = (x + 8)^2 - 110