If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$?
3x^2 - 6x - 2 factor out the 3
3 ( x^2 - 2x - 2/3)
Take 1/2 of 2 = 1 square it =1......add and subtract within the parentheses
3 ( x^2 - 2x + 1 -2/3 -1) factor the first three terms.....simplify the rest
3 [ ( x -1)^2 - 5/3 ] distribute the "3" across the terms in brackets
3( x - 1)^2 - 5
a = 3
h = 1
k = -5
And their sum = -1