Question

Given ​f(x)=x^2+12x+26​.

Enter the quadratic function in vertex form in the box.

f(x)=

Answer 1

f(x) = (x+6)² - 10

Explanation:

To write the equation in vertex form we, we need to use completing square method.

f(x) = x²+ 12x + 26 = (x² + 2*x*6 + 6²) - 6² + 26 = (x+6)² -36 + 26 =

= (x+6)² - 10

f(x) = (x+6)² - 10