Complete the Square

Question

Rewrite the quadric funtion in standard form by completing the square. 

 

 

in f(x)= 1/2(x^2+ x)+x form. 

 

f(x)=1/2x^2+10x-10

 

 

Answer 1

y = (1/2)x² + 10x -10

 

y = (1/2)[x² + 20x] - 10

 

y = (1/2)[x² + 20x + 100 - 100] -10

 

y = (1/2)(x + 10)² -50 - 10

 

y = (1/2)(x + 10)² - 60