Math
posted by Need Help on .
Express this function in vertex form by completing the square:
3x^2  4x + 1
PLEASE SHOW STEP BY STEP!!!

Assume
3x^2  4x + C to be a perfect square, (ax + b)^2, where a abd b are constants. The square would be
a^2 + 2ab + b^2. Therefore
a = sqrt3 and 2b sqrt3 = 4
b = 2/sqrt 3
b^2 = 4/3
3x^2  4x + 1 = (x sqrt 3  2/sqrt3)^2 1/3