L2D2ii Expanded Form Challenge Answers

1st Challenge:

y = (x + 3)^2 + 2 ->

y - 2 = (x + 3)^2 ->

y - 2 = x^2 + 6x + 9 ->

y = x^2 + 6x + 11

2nd Challenge:

y = x^2 + 18x + 6

y - 6 = x^2 + 18x

y - 6 + 81 = x^2 + 18x + 81 ; remember, 81 = (18/2)^2 and you add 81 to both sides to be 'fair'.

Factor the right side and add like terms on the left:

y + 75 = (x + 9)^2 which is the vertex form;

The ordered pair of the vertex is:

(-9, -75)