Question

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

Answer 1

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

Answer 2

Answer:

$f(x)=(x+8)^{2}-110$

Step-by-step explanation:

$f(x)=x^{2}+16x-46 \\=x^{2}+2\times 8\times x-46 \\=x^{2}+16x+8^2-8^2-46 \\=(x+8)^{2}-64-46\\f(x)=(x+8)^{2}-110$