Complete the square to write this function in vertex form: x2 - 12x + 23 = 0

Question

Complete the square to write this function in vertex form:

x2 - 2x - 3 = 0

Complete the square to write this function in vertex form:

x2 + 6x + 8 = 0

Answer 1

x^2 -2x -3 = 0

x^2 -2x = 3

x^2 -2x + 1 = 3+1

(x-1)^2 = 4

x-1= + or - 2

x =1 + or -2

x = -1 or 3

y=(x-1)^2 -4 is in vertex form with vertex (1,-4)

x^2+6x+8

x^2 +6x + 9 +8-9 = 0 add & subtract (6/2)^2 = 9

(x+3)^2 -1 = 0

y=f(x) = (x+3)^2 -1 is in vertex form with vertex =(-3,-1)