Question

Rewrite in vertex form y=x2+2x+6

Answer 1

y=(x+1)²+5

Explanation:

y=x^2+2x+6

a=1; b=2;c=6

subtract 6 from both sides: x^2+2x= -6

complete the square by using the equation (b/2)^2 and add to both sides: x^2+2x+1=-6+1

simplify: x^2+2x+1=-5

find the factors of 1 that add up to 2: 1 and 1

(x+1)(x+1)=-5

add 5 to both sides and simplify

y=(x+1)^2+5

Answer 2

y = (x+1)^2+5

Explanation:

Add or subtract from both sides to complete the square;

y=x^2+2x+6; Subtract 5 from both sides

y-5 = x^2+2x+1; Factor;

y - 5 = (x+1)^2; Add 5 back to both sides;

y = (x+1)^2+5